Question

Solve for θ if 0° ≤ θ < 360°. (Enter your answers as a comma-separated list.)
sqrt(3)sin θ + cos θ = 1
I have no idea where to start.

Answer 1

Try squaring both sides.

I got one solution with that.
Do you have an answer key?
How many solution are given?

Answer 2

There can be 2 solutions actually.

1) when sin theta = 0 cos theta = 1
2) when sin theta = sqrt 3/2 and cos theta = -1/2

You can recheck the values by putting them in the equation.
I am not sure how to get the second result though.

Answer 3

I don't have the answer key for this however the other variant of this question:
sqrt(3)sinθ - cosθ =1 the answers are 60 and 180 degrees.