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how do i solve this one really lost help me

0 votes

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

2 sin2 θ cos θ = 1

θ =

 

asked Apr 9, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The trigonometric equation is .

Rewrite the equation image.

Fundamental identities: image.

image

Let image.

image

Substitute image in the factors.

image

General solution image:

If image, then image, where image is an integer.

image

General solution image:

If image, then image, where image is an integer.

image

Solution :

The general solution is image.

answered Apr 11, 2016 by Anney Mentor

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