Find the Exact Value cos(5/6)

Problem

cos(5/6)

Solution

1. Identify the input of the function. The expression cos(5/6) represents the cosine of the real number 5/6 radians.

2. Determine if the value is a standard angle. The value 5/6 is approximately 0.833 radians. This is not one of the common reference angles (like π/6 π/4 or π/3 found on the unit circle.

3. Evaluate the expression. Since 5/6 is not a multiple of π the exact value cannot be simplified into a radical or a rational number. The exact value is simply the expression itself.

Final Answer

cos(5/6)=cos(5/6)

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