Find the Reference Angle cos(150)

Problem

cos(150)

Solution

1. Identify the quadrant in which the given angle 150 lies. Since 90<150<180 the angle is in the second quadrant.

2. Apply the formula for the reference angle θ′ in the second quadrant. The reference angle is the positive acute angle formed by the terminal side of the angle and the x-axis.

3. Calculate the reference angle by subtracting the given angle from 180

θ′=180−150

4. Simplify the subtraction to find the final value.

θ′=30

Final Answer

Reference Angle of *150=30

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