Find the Reference Angle tan(405)

Problem

tan(405)

Solution

1. Identify the given angle, which is 405

2. Find the coterminal angle within the range of 0 to 360 by subtracting 360 from the original angle.

405−360=45

3. Determine the quadrant of the coterminal angle. Since 45 is between 0 and 90 it lies in Quadrant I.

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

θ′=45

Final Answer

Reference Angle of *405=45

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