Simplify cos(( square root of 3)/2)

Problem

cos(√(,3)/2)

Solution

1. Identify the expression as the cosine of a constant value, where the input √(,3)/2 is an angle measured in radians.

2. Approximate the value of the input to understand its position on the unit circle.

√(,3)/2≈1.732/2

√(,3)/2≈0.866

3. Recognize that √(,3)/2 is not a standard "special angle" (like π/6 or π/3 for the cosine function itself, but rather a numerical value.

4. Conclude that since the expression does not involve an inverse trigonometric function or a standard multiple of π it is already in its simplest exact form.

Final Answer

cos(√(,3)/2)=cos(√(,3)/2)

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