Find the Reference Angle 5

Problem

5

Solution

1. Identify the given angle in radians. The angle is θ=5

2. Determine the quadrant of the angle by comparing 5 to multiples of π Since π≈3.14 1.5*π≈4.71 and 2*π≈6.28 the angle 5 lies in the fourth quadrant (1.5*π<5<2*π.

3. Apply the formula for the reference angle θ′ in the fourth quadrant. The reference angle is the positive acute angle formed with the x-axis.

4. Calculate the reference angle using the formula θ′=2*π−θ

5. Substitute the value θ=5 into the formula to get θ′=2*π−5

Final Answer

θ′=2*π−5

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