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hard and im lost

0 votes

Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)

4 cos2 θ 1 = 0

θ =

 

rad

asked Apr 9, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The trigonometric equation is image.

Let .

image

Difference of squares formula: .

image

Substitute in the factors.

image

General solution :

If , then , where is an integer.

General solution :

If , then , where is an integer.

Solution :

The general solution is image.

answered Apr 11, 2016 by Anney Mentor
edited Apr 11, 2016 by Anney

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