Find the Reference Angle pi/4

Problem

π/4

Solution

1. Identify the given angle θ=π/4

2. Determine the quadrant in which the angle lies. Since 0<π/4<π/2 the angle is in the first quadrant.

3. Apply the rule for reference angles in the first quadrant. For an angle θ in Quadrant I, the reference angle θ′ is equal to the angle itself.

4. Calculate the reference angle using the formula θ′=θ

5. Conclude that the reference angle is π/4

Final Answer

θ′=π/4

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