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Solving trigonometric equations – Sharp EL-9900 User Manual

Page 125

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Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900

Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

To solve a trigonometric equation graphically using the
CALC feature:

1.

Press Y= CL to access and clear Y1. Set the calculator to radian mode

by pressing 2ndF SET UP B (DRG) and 2 (Rad).

Press 2ndF QUIT to exit the menu.

2.

To find the solutions of 2sin

2

x – cos x – 1 = 0, press 2 ( sin X/

θ/T/n )

a

b

2 – cos X/

θ/T/n – 1 ENTER .

3.

Set your viewing window by pressing WINDOW (–)

2ndF

π ÷ 2

ENTER 2ndF

π ENTER 2ndF π ÷ 4 ENTER (–) 1 ENTER

1 ENTER 1 ENTER . Press GRAPH to view the graph.

4.

To "calculate" an intercept (solution), press 2ndF CALC 5 (X_Incpt).

You can calculate the other two intercepts by pressing 2ndF CALC 5

(X_Incpt) again.

To solve an equation with functions on both the left and right sides:

1.

Press Y= CL to access and clear Y1 of an old expression. To find the

solutions of 2tan x sin x + 2sin x = tan x + 1, you will enter the left side as Y1,

by pressing 2 tan X/

θ/T/n sin X/θ/T/n + 2 sin X/θ/T/n

ENTER .

2.

Enter the right side as Y2, by pressing tan X/

θ/T/n + 1 ENTER .

3.

Set your viewing window by pressing WINDOW (–)

2ndF

π ÷ 2

ENTER 2ndF

π ENTER 2ndF π ÷ 4 ENTER (–) 2 ENTER

2

ENTER 1 ENTER . Press GRAPH to view the graph.

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 2 (Intsct).

Do this several times.

SOLVING TRIGONOMETRIC EQUATIONS