Simplify cos(30)^2

Problem

cos(30^∘)

Solution

1. Identify the exact value of the trigonometric function cos(30^∘)

cos(30^∘)=√(,3)/2

2. Substitute the value into the expression.

(√(,3)/2)^2

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

((√(,3))^2)/2^2

4. Simplify the resulting fraction.

3/4

Final Answer

cos(30^∘)=3/4

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