Graphical verification of formulas and identities – Sharp EL-9900 User Manual

Page 119

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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.

1.

Verify the double angle formula sin 2

θ = 2 sin θ cos θ, by graphing Y1 = sin

(2x) and Y2 = 2 sin x cos x and show that they are in fact the same graph.

2.

Turn the calculator on and press Y= . Press CL to clear Y1 of an old

expression. Press

▼ CL to clear additional expressions.

3.

Make sure the calculator is in radian mode by pressing 2ndF SET UP ,

B (DRG) and 2 (Rad). Press 2ndF QUIT to exit the menu.

4.

Now enter sin (2x) for Y1 by pressing sin (

2 X/

θ/T/n ) ENTER

and the 2 sin x cos x for Y2 by pressing 2 sin X/

θ/T/n cos X/θ/T/n

ENTER .

5.

Set your viewing window by pressing ZOOM E (TRIG) 1 (sin x).

6.

They appear as one graph. An invalid formula or identity would result in

two graphs.

GRAPHICAL VERIFICATION OF FORMULAS
AND IDENTITIES

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