Find the Reference Angle cos(75)

Problem

cos(75^∘)

Solution

1. Identify the given angle, which is 75^∘

2. Determine the quadrant in which the angle lies. Since 0^∘<75^∘<90^∘ the angle is in the first quadrant.

3. Apply the rule for reference angles in the first quadrant. For an angle θ in Quadrant I, the reference angle θ^′ is equal to the angle itself.

4. Calculate the reference angle using the formula θ^′=θ

5. Conclude that the reference angle for 75^∘ is 75^∘

Final Answer

θ^′=75^∘

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