Find the Exact Value cos(3/4)

Problem

cos(3/4)

Solution

1. Identify the input of the function. The expression cos(3/4) represents the cosine of the real number 0.75 radians.

2. Determine if the value corresponds to a standard angle on the unit circle. The value 3/4 is not a multiple of common angles like π π/2 π/3 π/4 or π/6

3. Conclude that since 3/4 is not a standard reference angle, the exact value cannot be simplified into a simpler radical or rational form. The expression is already in its simplest exact form.

Final Answer

cos(3/4)=cos(3/4)

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