5.5.75Use an identity to solve the equation on the interval [0,2x)12sin x cos X4Select the correct choice below and, if necessary, fill in the answer box to cO A. X(lype an exact answer in terms of . Use a comma to separate answO B. There is no solution.Click to select and enter your answer(s) and then click Check AnswerAll parts showing

Question
Asked Sep 25, 2019
5.5.75
Use an identity to solve the equation on the interval [0,2x)
12
sin x cos X
4
Select the correct choice below and, if necessary, fill in the answer box to c
O A. X
(lype an exact answer in terms of . Use a comma to separate answ
O B. There is no solution.
Click to select and enter your answer(s) and then click Check Answer
All parts showing
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5.5.75 Use an identity to solve the equation on the interval [0,2x) 12 sin x cos X 4 Select the correct choice below and, if necessary, fill in the answer box to c O A. X (lype an exact answer in terms of . Use a comma to separate answ O B. There is no solution. Click to select and enter your answer(s) and then click Check Answer All parts showing

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check_circleExpert Solution
Step 1

Consider the given equation

-2
sin x cos x
4
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-2 sin x cos x 4

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Step 2

Use the identity

2 sin x cos x = sin 2x
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2 sin x cos x = sin 2x

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Step 3

Then

...
-2
sin xcos x
4
multiply by 2 both side
-V2
2 sin x cos x = 2
4
-1
sin 2x
2
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-2 sin xcos x 4 multiply by 2 both side -V2 2 sin x cos x = 2 4 -1 sin 2x 2

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