Find an angle θ with 0 ∘ < θ < 360 ∘ that has the same: Sine function value as 230 ∘ θ = degrees Cosine function value as 230 ∘ θ = degrees

Question

Find an angle θ with 0 ∘ < θ < 360 ∘ that has the same:

Sine function value as 230 ∘ θ = _____ degrees Cosine function value as 230 ∘ θ = _____degrees

Answer 1

We need to look at quadrants other than the first quadrant which has angles 0 to 90^o

The sin function is positive in the first and second quadrants ... so sin 50^o will be the same as sin 130^o .... (as in 180^o-50^o)

The cos function is positive in the first and fourth quadrants ... so cos 50^o will be the same as cos 310^o ... (as in 360-50^o)

I made a video explaining this question ... see the expert answers on my Wyzant page for the video link