For each angle θ listed below, find the reference angle α, and then find sin θ. Round sin θ to four decimal places, if necessary.

Question

For each angle θ listed below, find the reference angle α, and then find sin θ.  Round sin θ to four decimal places, if necessary.

θ = 110°             ?                 ?

GPT 3.5 · Answer

To find the reference angle α, we need to determine the acute angle between the terminal side of θ and the x-axis.

In this case, since the angle θ is in the second quadrant (between 90° and 180°), the reference angle α is found by subtracting θ from 180°.

α = 180° - 110° = 70°

To find sin θ, we can use the trigonometric function sin with the reference angle α.

sin α = sin 70° ≈ 0.9397