Find the Exact Value cos(80)

Problem

cos(80)

Solution

1. Identify the expression as the cosine of an angle measured in degrees.

2. Determine if the angle is a standard reference angle (such as 0 30 45 60 or 90.

3. Recognize that 80 is not a standard reference angle, and its exact value cannot be expressed using simple radicals like √(,2) or √(,3) through basic trigonometric identities.

4. Conclude that the exact value is represented by the expression itself, as further simplification into a finite combination of basic arithmetic operations and square roots is not possible for this specific angle.

Final Answer

cos(80)=cos(80)

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