Find the Reference Angle 400

Problem

400

Solution

1. Identify the given angle θ=400 and determine its location relative to a full rotation of 360

2. Find the coterminal angle by subtracting 360 from the original angle to find an equivalent angle between 0 and 360

(θ_c)=400−360

(θ_c)=40

3. Determine the quadrant of the coterminal angle. Since 40 is between 0 and 90 it lies in Quadrant I.

4. Apply the reference angle rule for Quadrant I, where the reference angle θ′ is equal to the angle itself.

θ′=(θ_c)

θ′=40

Final Answer

Reference Angle of *400=40

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