Evaluate 4cos(pi/6)

Problem

4*cos(π/6)

Solution

1. Identify the reference angle and its trigonometric value. The angle π/6 is a standard angle in the first quadrant.

2. Recall the exact value of the cosine function for this angle.

cos(π/6)=√(,3)/2

3. Substitute the exact value back into the original expression.

4*(√(,3)/2)

4. Simplify the expression by multiplying the constant and the fraction.

(4√(,3))/2=2√(,3)

Final Answer

4*cos(π/6)=2√(,3)

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