Find the Reference Angle 345

Problem

345^∘

Solution

1. Identify the quadrant in which the given angle θ=345^∘ lies. Since 270^∘<345^∘<360^∘ the angle is in the fourth quadrant.

2. Apply the formula for the reference angle θ^′ in the fourth quadrant, which is θ^′=360^∘−θ

3. Substitute the value of the angle into the formula to calculate the result: 360^∘−345^∘

4. Simplify the subtraction to find the final reference angle.

Final Answer

θ^′=15^∘

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