how do i solve this one really lost help me

Question

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 =

 

Answer 1

Step 1:

The trigonometric equation is .

Rewrite the equation .

Fundamental identities: .

Let .

Substitute in the factors.

General solution :

If , then , where is an integer.

General solution :

If , then , where is an integer.

Solution :

The general solution is .