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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