Find the Exact Value sec(59)

Problem

sec(59)

Solution

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

2. Determine if the angle 59 is a standard reference angle (such as 0,30,45,60,90.

3. Conclude that since 59 is not a standard reference angle and cannot be easily expressed using sum, difference, or half-angle formulas of standard angles, the exact value is represented by the expression itself.

4. Relate the secant function to the cosine function using the reciprocal identity.

Final Answer

sec(59)=1/cos(59)

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