Find the Exact Value cos(55)

Problem

cos(55)

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 55 is not a standard angle and cannot be expressed as a simple sum or difference of standard angles (like 45+10 or 60−5 to yield an exact radical form using basic trigonometric identities.

4. Conclude that the exact value is represented by the expression itself, as it does not simplify into standard radical form.

Final Answer

cos(55)=cos(55)

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