Find the Reference Angle tan(150)

Problem

tan(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 using the formula θ′=180−θ

180−150=30

Final Answer

θ′=30

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