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i left this problem because it was hard for me

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An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

2 cos 3θ = 1
(a) Find all solutions of the equation.
θ =
 



(b) Find the solutions in the interval [0, 2π).
θ =

 

asked Apr 8, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The trigonometric equation is image.

Find the solution of the equation.

image

General solution for image: image and image

image

image

The solution of the equation image and image

Step 2:

Find the solution in the interval .

image.

Substitute different values of image.

image

The solution of the equation in the interval is

image

Solution :

(a) The solution of the equation image and image

(b) The solution of the equation in the interval is

image

answered Apr 9, 2016 by Anney Mentor

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