Try again...TRIGONOMETRIC IDENTITIES AND EQUATIONSMaxDouble-angle identities: Problem type 1EspanTry AgainYour answer is incorrectsin 2x: Your answer is incorrect.tan 2x: Your answer is incorrect.3and x terminates in quadrant III13Find sin 2x, cos 2x, and tan2x if cosx=12sin 2x=13?X5cos2x1312tan 2x5

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Asked Oct 7, 2019
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TRIGONOMETRIC IDENTITIES AND EQUATIONS
Max
Double-angle identities: Problem type 1
Espan
Try Again
Your answer is incorrect
sin 2x: Your answer is incorrect.
tan 2x: Your answer is incorrect.
3
and x terminates in quadrant III
13
Find sin 2x, cos 2x, and tan2x if cosx=
12
sin 2x
=
13
?
X
5
cos2x
13
12
tan 2x
5
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Try again... TRIGONOMETRIC IDENTITIES AND EQUATIONS Max Double-angle identities: Problem type 1 Espan Try Again Your answer is incorrect sin 2x: Your answer is incorrect. tan 2x: Your answer is incorrect. 3 and x terminates in quadrant III 13 Find sin 2x, cos 2x, and tan2x if cosx= 12 sin 2x = 13 ? X 5 cos2x 13 12 tan 2x 5

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Expert Answer

Step 1

Calculate the value for sinx and tanx where Cosx=adjacent/hypotenuse.

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-2 opposite sin(xhypotenuse V13 tan(x) OPposite 2 adjacent 3 11

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Step 2

Apply the formula for sin(2x) and substitute the value of sin(x) and cos(x).

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sin (2x) 2sin x)eos (x) -2 -2x V13 v13 -3 X 12 13

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Step 3

Apply the formula for cos(2x) and substitut...

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cos (2x) 1-2 sin2(x) 2 =1-2 v13 4 =1-2 13 8 =1- 13 13

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