Costhetasintheta-2costheta=0

Answer 1

To solve this equation, we can factor out the common term "cos(theta)" to get:

cos(theta)(cos(theta) - 2) = 0

This equation is satisfied when either cos(theta) = 0 or cos(theta) - 2 = 0.

1. If cos(theta) = 0, then theta = π/2 + nπ, where n is an integer.
2. If cos(theta) - 2 = 0, then cos(theta) = 2, which is not possible since the cosine function has a range of [-1, 1].

Therefore, the solution to the equation is theta = π/2 + nπ, where n is an integer.