Find the Exact Value 2cos(pi/6)

Problem

2*cos(π/6)

Solution

1. Identify the angle in the unit circle. The angle π/6 radians is equivalent to 30

2. Recall the exact value of the cosine function for the given angle. From the unit circle or special right triangles, cos(π/6)=√(,3)/2

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

2*(√(,3)/2)

4. Simplify the expression by canceling the common factor of 2 in the numerator and denominator.

√(,3)

Final Answer

2*cos(π/6)=√(,3)

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