Find the Reference Angle -404 degrees

Problem

−404

Solution

1. Find a coterminal angle between 0 and 360 by adding multiples of 360 to the given angle.

−404+360=−44

−44+360=316

2. Identify the quadrant where the terminal side of the angle 316 lies.

270<316<360

The angle is in Quadrant IV.

3. Apply the reference angle formula for Quadrant IV, which is θ′=360−θ

θ′=360−316

4. Calculate the final value.

θ′=44

Final Answer

Reference Angle of −404=44

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