Find the Reference Angle -1.4pi

Problem

−1.4*π

Solution

1. Find a coterminal angle between 0 and 2*π by adding multiples of 2*π to the given angle.

−1.4*π+2*π=0.6*π

2. Identify the quadrant where the terminal side of the angle 0.6*π lies.

0.5*π<0.6*π<π

Since the angle is between π/2 and π it lies in Quadrant II.

3. Apply the reference angle formula for Quadrant II, which is θ′=π−θ

θ′=π−0.6*π

4. Subtract to find the final value of the reference angle.

θ′=0.4*π

Final Answer

θ′=0.4*π

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