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Sharp EL-9600 User Manual

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See also: Handbook , Tech Manual
A P P L Y I N G
TRIGONOMETRY
U S I N G
T H E
SHARP
E L - 9 6 0 0
Graphing Calculator
D A V I D P . L A W R E N C E

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Summary of Contents for Sharp EL-9600

  • Page 1 A P P L Y I N G TRIGONOMETRY U S I N G T H E SHARP E L - 9 6 0 0 Graphing Calculator D A V I D P . L A W R E N C E...
  • Page 2 Solutions to the Activities are also included. We hope you enjoy using this resource book and the Sharp El-9600 graphing calculator in your classroom. Other books are also available:...
  • Page 3 Special thanks to Ms. Marina Ramirez and Ms. Melanie Drozdowski for their comments and suggestions. Developed and prepared by Pencil Point Studio. Copyright © 1998 by Sharp Electronics Corporation. All rights reserved. This publication may not be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without written permission.

  • Page 4: Table Of Contents

    Amplitude, Period and Phase Shift Inverse Trigonometric Functions Solving Trigonometric Equations Applications with Right Triangles Law of Sines and Law of Cosines Area of a Triangle Area of a Circular Sector Blackline Masters Solutions to the Activities TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 5: Graphs Of Trigonometric Functions

    Introducing the Topic In this chapter, you and your students will learn how to graph trigonometric functions on the Sharp EL-9600. Graphing trigonometric functions on the calculator is covered first, so that graphical evaluation of trigonometric functions may be covered in the next chapter. The trigonometric functions are often introduced as circular functions with angle measurement in degrees and radians.
  • Page 6 The window ranges are - 2 2 and - 1.55 1.55. The scale for the x axis is and the y-axis scale is .5. The remaining five trigonometric functions can be graphed similarly. Graphs of Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 7 A CALC if the menu is not already there. Double touch 10 csc, and press X/ /T/n . Use the sine function's built-in viewing range, and press GRAPH to view the graph. Graphs of Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 8 "markers" on the x-axis. Graphs of Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 9: Evaluating Trigonometric Functions

    2ndF SET UP , touch B DRG, and double touch 1 Deg. Press 2ndF QUIT to exit the menu. Now, to find the sin 45° you will press sin ENTER . Evaluating Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 10 2ndF SET UP , touching B DRG, and double touching 2 Rad. Press 2ndF QUIT to exit the menu. Now, to find sin you will press sin 2ndF a/b 3 ENTER . Evaluating Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 11 Press ZOOM , touch A ZOOM, and double touch 3 In to zoom in on the cursor. Once again, trace over near x = 1.047. Zoom in one more time to see an even better approximation. Evaluating Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 12 Xmin and Xmax to 10° and 30° (value of interest ± 10° ) respectively to start out closer to the value of interest. Set the Xscl = 1. Press ZOOM , touch A ZOOM, Evaluating Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 13 E ANGLE, double touching 1°, and pressing ENTER . Students can store a graph with a particular viewing window for repeated use by using the StoGD command in the DRAW menu. For more detail, refer to the EL-9600 –...

  • Page 14: Graphical Verification Of Formulas And Identities

    ENTER . Set your viewing window by pressing WINDOW EZ , touch 5, touch – – on the screen, touch 6 2 <X,<2 , touch on the screen, and touch 5 5<Y<5. Graphical Verification of Formulas and Identities/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 15 (as demonstrated in Using Blackline Master 3.2). Next, use the Blackline Masters 3.3 through 3.5 to create worksheets for the students. Have the students verify the various formulas and identities. Use the topics For Discussion to supplement the worksheets. Graphical Verification of Formulas and Identities/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 16 < x < 3 . Enter this viewing window by pressing WINDOW 2ndF ENTER 2ndF ENTER . Press GRAPH to view the graphs. Notice they appear as one graph. Graphical Verification of Formulas and Identities/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 17 Verify the following formulas and identities graphically. 1. cos 2 = cos – sin 2. 1 + cot = csc 3. sin = (1 + sin )(1 – sin ) Graphical Verification of Formulas and Identities/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 18 0 and 1 will stretch the curve. The stretching and shrinking of a curve horizontally effects the function's period. The new periods will be for sine, cosine, secant and cosecant, and for tangent and cotangent. Amplitude, Period, and Phase Shift/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 19 Double touch the screen at Y = - 2, below the box with the arrows. Notice the new function Y = - 2 sin X is displayed. Press ENTER to place the new function in the list. Amplitude, Period, and Phase Shift/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 20 ZOOM , touching E TRIG, and double touching 1 sin x. Note the change in the second graph versus the first graph. Engage the trace to show the period has changed from 2 to . Amplitude, Period, and Phase Shift/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 21 Press to move from one graph to the next. Observe and note the changes in sin X when you change the phase shift. Amplitude, Period, and Phase Shift/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 22 ( - 2)tan (1) Compare tan (2) Compare tan with tan (3) Compare tan with tan ( – (4) Compare tan with tan ( ) + 2 Amplitude, Period, and Phase Shift/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 23: Inverse Trigonometric Functions

    . These limited domains result in one-to-one functions whose inverses are functions. The values within these limited domains are called –1 the principal values. Notations for "inverse sine" are "arcsin" and "sin ". Inverse Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 24 CL to clear additional Y prompts. Enter sin x for Y1 by pressing 2ndF X/ /T/n ENTER . Set your viewing window by pressing ZOOM , touching E TRIG, and double touching 4 sin Inverse Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 25 (.4), press 2ndF • ENTER . The answer of .4115 radians is shown below. To find the result in terms of press ÷ 2ndF ENTER . So, .4115 radians is equal to .13099 . Inverse Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 26 _______________ degrees 5. sin (.2) = _______________ radians ( - .6) = 6. cos _______________ radians 7. tan (3) = _______________ radians 8. cot (3) = _______________ radians 9. sec (1.5) = _______________ radians Inverse Trigonometric Functions/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 27 SET UP , touching B DRG, and double touching 1 Deg. Press 2ndF QUIT to exit the menu. To find the solutions of 3sin x – 4sin x + 1 = 0, press 3 X/ /T/n – X/ /T/n ENTER . Solving Trigonometric Equations/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 28 Now, press ZOOM , touch A ZOOM, and double touch 3 In to zoom in on the left intercept and solution of this equation. Press TRACE and to trace near and approximate the intercept. As the graph below shows, the first solution is approximately 19.4°. Solving Trigonometric Equations/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 29 Next, use the Blackline Master 6.3 to create a worksheet for the students. Have the students find the solutions to the trigonometric equations through zooming and calculation in both radian and degree modes. Use the topics For Discussion to supplement the worksheets. Solving Trigonometric Equations/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 30 To solve a trigonometric equation graphically using the CALC feature of the Sharp graphing calculator, you will turn the calculator on and press Y= to access and clear Y1 of an old expression. Solving can be done in degrees and radians.
  • Page 31 CALC and double touch 2 Intsct. You can calculate the next intersection by pressing 2ndF CALC and double touch 2 Intsct again. Shown below are two of the solutions (in radians) found by the CALC feature. Solving Trigonometric Equations/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 32 + 4sec x + 4 = 0 (in radians) 5. cos x tan x – sin x = 0 (in radians) 6. 2sin x cos x + 4sin x = cos x + 2 (in radians) Solving Trigonometric Equations/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 33: Applications With Right Triangles

    SET UP , touching B DRG, and double touching 1 Deg. Press 2ndF QUIT to exit the set up menu. Historically, the six trigonometric functions were defined in relation to a right triangle. Applications with Right Triangles/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 34 With the cursor over the s in sin, press cos to insert cos. Press DEL to delete sin. Press to move the cursor over the A in the numerator of the fraction. Press ALPHA B to insert B. Press DEL to delete A. Applications with Right Triangles/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 35 A. Determine the length of the diagonal of the rectangle. + – Press 2ndF SOLVER to access the SOLVER, and press CL to delete the equation that is on the screen. Enter the equation tan by pressing tan Applications with Right Triangles/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 36 8.6 for A and solve for C. For Discussion Students can edit a current equation in the SOLVER to a new equation instead of clearing the current equation and typing in the new equation. Applications with Right Triangles/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 37 One angle of the triangle is 42° and the length of the side opposite this angle is 60 meters. Find the length of fencing that is required to enclose the field. Applications with Right Triangles/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 38: Law Of Sines And Law Of Cosines

    That is, if A, B, and C are the measures of the three angles of a triangle and X, Y, and Z are respectively the lengths of the three sides opposite those angles, then: sin C sin A sin B Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 39 = 15 What is the value of y? What is the value of z? With the blinking cursor over the A, type in 95 and press ENTER . Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 40 The calculator will now display a blinking box in the upper right-hand corner of the viewing screen while it looks for the intersection of the two graphs. If one is found, the solution is displayed at the bottom of the screen. Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 41 That is, if x, y, and z are the lengths of the three sides of a triangle and is the angle between the two sides of lengths x and y, then: – 2xy cos Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 42 (0 is the default value) and a step size STEP (.001 is the default value) that the SOLVER uses to determine successive estimates. Press 2ndF EXE to find the solution. Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 43 Graphic Solver. Use the topics For Discussion to supplement the worksheets. Retrieving (loading) and renaming equations that have been stored in the calculator is discussed in the owner's manual. Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 44 22° 1200 feet above point A is 25°. Find the distance from the helicopter to the top of the flagpole. Law of Sines and Law of Cosines/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 45 1. The area of a triangle is one-half the product of the base and the height where the height is the length of the line segment drawn from a vertex of the triangle perpendicular to the opposite side called the base. height area = base•height base Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 46 B • H with the keystrokes: ALPHA ALPHA ALPHA ALPHA Press 2ndF SOLVER , touch A METHOD, and double touch 1 Equation to choose the Equation solver. Press ENTER to see the list of variables for your equation: Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 47 . Consider the triangle below where sides of lengths 4.8 and 5.73 enclose a 47° angle. The height of this triangle is not known, but you do have the necessary information to use the formula A = B•C•sin . 5.73 47° Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 48 Since area is always nonnegative, 0 could be used for BEGIN. Enter END a value that you do not expect area to exceed, say 25. (A little bit of estimation helps here! If your value for END is too small, increase it and try again.) Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 49 SOLVER, but it is probably easier to find the value of S in the computation mode and then use Heron’s formula in the SOLVER. Press ENTER to view the variable list. For Discussion Students can discuss the steps to enter the distance formula in the SOLVER. Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 50 15 has an area equal to 200 and you are asked to find the measure of the angle between the two given sides. What would you find? Why did you find it? Area of a Triangle/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 51 When the curve is a circle, a central angle is an angle whose vertex is at the center of the circle. The central angle is said to intercept, or subtend, the arc. Area of a Circular Sector/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 52 6 feet. If the central angle of the sector is radians, find the area of the region that is watered by the sprinkler. 6 ft 6 ft Area of a Circular Sector/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 53 Since area is never negative, you could set START=0. Leave the STEP size as .001 and remember that you should change it to a slightly larger value if an error message results. Press 2ndF EXE to find the area in square feet. Area of a Circular Sector/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 54 Recall that BEGIN and END are the lower and upper values between which you feel the solution will lie. Enter a 20 for END so that the intersection of the two graphs is visible on the screen. Press 2ndF EXE to find the area. Area of a Circular Sector/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 55 3. If the area of a sector of a circle is 7.52 square inches and the radius of the circle is 2.4 inches, find the measure of the angle subtended by the arc of the sector. (Give units with your answer.) Area of a Circular Sector/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 56 BLACKLINE MASTERS 8.1 - 8.3 78 - 80 AREA OF A TRIANGLE BLACKLINE MASTERS 9.1 - 9.4 81 - 84 AREA OF A CIRCULAR SECTOR BLACKLINE MASTERS 10.1 - 10.3 85 - 87 KEYPAD FOR THE SHARP EL-9600 Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 57: Graphs Of Trigonometric Functions

    2. Enter the cosecant function for Y1 by pressing MATH , touch A CALC, double touch 10 csc, and press X/ /T/n . 3. Continue to use the sine function's built-in viewing range. 4. Press GRAPH to view the graph. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 58 6. Enter the cosine function ( y = cos x ) for Y1, by pressing cos X/ /T/n . 7. Enter the viewing window range by pressing ZOOM , touching E TRIG, and double touching 2 cos x. 8. Sketch your graph in the box. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 59 6. Enter the cosine function ( y = tan x ) for Y1, by pressing tan X/ /T/n . 7. Enter the viewing window range by pressing ZOOM , touching E TRIG, and double touching 3 tan x. 8. Sketch your graph in the box. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 60 Graph the cotangent function. Try graphing the cotangent function without looking at the steps provided in Activities 1-3. Use the built-in viewing window range for tangent and sketch your graph in the box below. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 61: Evaluating Trigonometric Functions

    Press ZOOM , touch A ZOOM, and double touch 3 In to zoom in on the cursor. 6. Once again, trace over near x = 1.047. Zoom in one more time to see an even better approximation. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 62 1. Press ZOOM , touch A ZOOM, and double touch 1 Auto to view the graph. 5. Now, engage the trace by pressing TRACE . Notice the tracer appears at x = 20° since it is the middle of the x values. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 63 4. csc 55° 5. sec 22° 6. cot 40° Activity 2 Direct evaluation of trigonometric functions in radians 7. sin (– 8. cos ( 9. tan ( 10. csc ( 11. sec ( 12. cot (– Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 64 16. csc 85° 17. sec 145° 18. cot 235° Activity 4 Graphical approximation of trigonometric functions in radians 19. sin ( 20. cos ( 21. tan ( 22. csc ( 23. sec ( 24. cot ( Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 65: Graphical Verification Of Formulas And Identities

    X/ /T/n ENTER . 5. Set your viewing window by pressing WINDOW EZ , touch 5, touch the screen, touch 6 - 2 <X,<2 , touch on the screen, and touch 5 - 5<Y<5. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 66 Cos ( ) will be negative for a viewing window of < x < 3 . Enter this viewing window by pressing WINDOW 2ndF ENTER 2ndF ENTER . Press GRAPH to view the graphs. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 67 ENTER 2ndF ENTER 2ndF ÷ ENTER (–) ENTER ENTER ENTER . 6. Check to see if they result in the same graph by pressing GRAPH . Sketch what you see in the box below: Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 68 ) will be negative for 2 < x < 4 . Enter this range by pressing WINDOW 2ndF ENTER 2ndF ENTER . 4. Check to see if they result in the same graph by pressing GRAPH . 5. Sketch the graph in the box below. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 69 6. Sketch the graph in the box below. Activity 4 Verify the following formulas and identities using the steps provided in Activities 1 through 3: 1. cos 2 = 2cos – 1 2. csc – cot 3. tan = sec Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 70 8. Press to move from one graph to the next. Observe and note the changes in sin X when you change the amplitude. _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 71 Press to move from one graph to the next. Observe and note the changes in sin X when you change the phase shift. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 72: Amplitude, Period And Phase Shift

    7. cos x with 3cos(x + ____________________________ 8. tan x with 2tan( ____________________________ 9. cot x with cot( – ____________________________ 10. sec x with 2sec(3x) ____________________________ 11. csc x with ( )csc(x – ____________________________ Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 73: Inverse Trigonometric Functions

    CL to clear additional Y expressions. 3. Enter sin x for Y1 by pressing 2ndF X/ /T/n ENTER . 4. Set your viewing window by pressing ZOOM , touching E TRIG, and double touching 4 sin Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 74 CL to access and clear the Y1 prompt. 2. Enter cos x for Y1 by pressing 2ndF X/ /T/n ENTER . 3. Set your viewing window by pressing ZOOM , touching E TRIG, and double touching 5 cos Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 75 _______________ degrees ( - 1.3) = 4. sec _______________ radians 5. csc (1.7) = _______________ radians ( - 1) = 6. cot _______________ radians Graph the following. 7. y = tan 8. y = cot Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 76: Solving Trigonometric Equations

    Press TRACE and trace near and approximate the intercept. 8. Return to the original screen by pressing ZOOM , touching H RCL, and double touching 1 RclWin. Trace to find the right intercept. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 77 4. There appears to be four solutions to the equation. To "calculate" the intersections (solutions), press TRACE , move the tracer right until it appears on the screen. Next, press 2ndF CALC and double touch 2 Intsct. Do this several times. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 78 = cos x – 1 _______________ degrees 3. 3cos 2x – 5cos x = 1 _______________ radians 3cot x sin x + 2cos x = 0 _______________ radians 5. 4tan x + sin 2x = 0 _______________ radians Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 79: Applications With Right Triangles

    B to insert B. Press DEL to delete A. 7. Press ENTER to see the variable list. The value for and C will remain as before. Press to position the cursor over the B and press 2ndF to find B. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 80 CL and edit the current equation to read = A/C. 7. Press ENTER to see the variable list. The value of should be as before, so enter 8.6 for A and solve for C. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 81 4. John is lying on the beach 500 feet from his hotel and looking at Paula who is standing on a balcony. If the balcony is 450 feet above ground level, use the cotangent function to determine the angle between the beach and John’s line of sight. Paula John Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 82 7. The calculator will now display a blinking box in the upper right-hand corner of the viewing screen while it looks for the intersection of the two graphs. The solution is displayed at the bottom of the screen. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 83 EXE to find the solution. (If you receive an error message, try changing the START value or increasing the STEP value.) 8. Notice the left and right sides of the equation are displayed as equal values, and the L – R = 0. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 84: Law Of Sines And Law Of Cosines

    3. Two adjacent sides of a parallelogram are of length 8 and 12. The length of 10.5 the shorter diagonal of the parallelogram is 10.5. Find the angle opposite the shorter diagonal. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 85: Area Of A Triangle

    Press ENTER to access the variable list, enter 5.73 for B, 4.8 for C (or vice-versa), and 47 for . Move the cursor to the A variable. Press 2ndF EXE to solve for the area. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 86 SOLVER, but it is probably easier to find the value of S in the computation mode and then use Heron’s formula in the SOLVER. Press ENTER to view the variable list. 8. Use Heron's formula to solve some area problems. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 87 16,244 square feet. Find the area of the region the highway department plans to purchase. Find the measure of angle at the back corner of the wooded lot. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 88 6. Jim is lost in the forest. The police have determined that they should search the shaded region in the figure below. If each unit on the grid represents one mile, what is the area of region that the police will search? Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...

  • Page 89: Area Of A Circular Sector

    7. Since area is never negative, you could set START = 0. Leave the STEP size as .001 and remember that you should change it to a slightly larger value if an error message results. Press 2ndF EXE to find the area in square feet. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 90 5. Recall that BEGIN and END are the lower and upper values between which you feel the solution will lie. Enter a 20 for END so that the intersection of the two graphs is visible on the screen. 6. Press 2ndF EXE to find the area. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 91 5. A cherry cheesecake is in the shape of a circle. If the diameter of the pan holding the cheesecake is 9 inches, and the cheesecake is cut into 10 equal pieces, find the area covered by the cherry topping on one piece of the cheesecake. Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 92 KEYPAD FOR THE SHARP EL-9600 GRAPHING CALCULATOR EL-9600 Equation Editor CALC STAT PLOT SPLIT TBL SET FORMAT ZOOM GRAPH TABLE WINDOW TRACE CLIP SOLVER SHIFT/CHANGE + – SLIDE SHOW PRGM DRAW MATRIX STAT TOOL = QUIT A-LOCK SET UP ALPHA...
  • Page 93 6. SOLVING TRIGONOMETRIC EQUATIONS ADDITIONAL PROBLEMS 4. AMPLITUDE, PERIOD AND PHASE 1. -60° and 60° SHIFT 2. 90° ADDITIONAL PROBLEMS 3. -90, 30°, 150° 1. flipped over, rising faster 4. 3.1416 2. period is 3 Answer Key/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 94 BLACKLINE MASTER 10.1 5. 28.258° 5. 11.3097 7. 18.165 7. 11.3097 BLACKLINE MASTER 7.3 BLACKLINE MASTER 10.3 1. 22.993°, 29.458 1. 23.562 2. 12.369, 14.036° 2. 8.661 3. 100 feet 3. 39.27 4. 41.987° 5. 6.362 Answer Key/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 95 TEACHING NOTES Teaching Notes/TRIGONOMETRY USING THE SHARP EL-9600...
  • Page 96 TEACHING NOTES Teaching Notes/TRIGONOMETRY USING THE SHARP EL-9600...

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