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° ? ?
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