Given θ = 60∘, 0∘ < α < 360∘ and α ≠ θ, find α, such that:?

Given θ = 60∘, 0∘ < α < 360∘ and α ≠ θ, find α, such that:?Given θ = 60∘, 0∘ < α < 360∘ and α ≠ θ, find α, such that:?

1 Answer

Sine: a=120
Cosine: a=300

Explanation:

Since sin is positive in quadrants I and II, we know that a must be in quadrant II, with a 60 reference triangle. Since reference triangles in quadrant II occur on the -x-axis, which is 180 degrees, we know a=(180-60)=120

Cosine is positive in quadrants I and IV. Using the same process as above we can deduce a=(360-60)=300