Find the Reference Angle (7pi)/4

Problem

(7*π)/4

Solution

1. Identify the quadrant in which the angle θ=(7*π)/4 lies. Since (3*π)/2<(7*π)/4<2*π the angle is in the fourth quadrant.

2. Apply the formula for the reference angle θ′ in the fourth quadrant, which is θ′=2*π−θ

3. Substitute the value of θ into the formula:

θ′=2*π−(7*π)/4

4. Simplify the expression by finding a common denominator:

θ′=(8*π)/4−(7*π)/4

θ′=π/4

Final Answer

Reference Angle of (7*π)/4=π/4

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