To find the reference angle α, we need to find the acute angle closest to θ that lies in the same quadrant.
In this case, since θ = 132°, it lies in the second quadrant. The acute angle closest to 132° in the second quadrant is 180° - 132° = 48°. Therefore, the reference angle α is 48°.
To find sin θ, we can refer to the unit circle. In the second quadrant, the sine value is positive.
sin θ = sin 132° = sin α = sin 48° ≈ 0.7431
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.
Ref. Angle a Sin θ
θ = 132°
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1 answer