Find the Reference Angle -2

Problem

−2

Solution

1. Convert the angle from radians to a positive coterminal angle within the range [0,2*π) Since −2 is negative, add 2*π to find its position in standard position.

−2+2*π≈4.283

2. Determine the quadrant where the angle lies. Since π<4.283<(3*π)/2 (approximately 3.141<4.283<4.712, the angle is in Quadrant III.

3. Apply the reference angle formula for Quadrant III. The reference angle (θ_R) is found by subtracting π from the angle θ

(θ_R)=(2*π−2)−π

4. Simplify the expression to find the exact value of the reference angle.

(θ_R)=π−2

Final Answer

Reference Angle of −2=π−2

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