Find the Exact Value cos(39)

Problem

cos(39)

Solution

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

2. Determine if the angle 39 is a standard reference angle (such as 0,30,45,60,90.

3. Recognize that 39 is not a standard angle and cannot be easily expressed as a sum or difference of standard angles to produce a simple radical form.

4. Conclude that the exact value is represented by the expression itself, as further simplification into radicals involves complex nested roots or trigonometric constants not typically used in basic trigonometry.

Final Answer

cos(39)=cos(39)

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