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^∘

Want more problems? Check here!