Find the Exact Value cos(30 degrees )^2

Problem

cos(30)

Solution

1. Identify the exact value of the trigonometric function cos(30) using the unit circle or a special right triangle.

cos(30)=√(,3)/2

2. Substitute the exact value into the expression to be squared.

(√(,3)/2)2

3. Apply the power to both the numerator and the denominator.

((√(,3))2)/2

4. Simplify the resulting fraction by evaluating the squares.

3/4

Final Answer

cos(30)=3/4

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