can you show me how to solve

Question

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 2θ − 1 = 0

(a) Find all solutions of the equation.
θ =

 

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

 

Answer 1

Step 1:

The trigonometric equation is .

Find the solution of the equation.

General solution for :

The solution of the equation

Step 2:

Find the solution of the equation .

for the interval .

The solution of the equation

.

Solution :

(a)

The solution of the equation

(b)

The solution of the equation

.