Find the Reference Angle 6

Problem

6

Solution

1. Identify the given angle in radians. Since there is no degree symbol, the angle is 6 radians.

2. Determine the quadrant of the angle by comparing 6 to multiples of π Since π≈3.14 and 2*π≈6.28 the angle 6 lies in the fourth quadrant because (3*π)/2<6<2*π

3. Apply the formula for the reference angle (θ_r) in the fourth quadrant, which is (θ_r)=2*π−θ

4. Substitute the value θ=6 into the formula to find the reference angle.

Final Answer

(θ_r)=2*π−6

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