cosθ = 0.4049 is the problem I cant figure out

Question

Find

theta θ

for

0 degrees° less than or equals θ less than 360 degrees°.

cosθ=0.4049

Answer 1

The cosine is positive in quadrants I and IV, so there are two answers in the interval 0^o ≤ θ ≤ 360^o. Your calculator will give you the first answer, θ = cos^-1(0.4049). The second answer is 360^o - cos^-1(0.4049).