Find the Exact Value sec(29)

Problem

sec(29^∘)

Solution

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

2. Determine if the angle 29^∘ is a standard reference angle (such as 0^∘,30^∘,45^∘,60^∘,90^∘.

3. Conclude that since 29^∘ is not a standard reference angle and cannot be expressed as a simple combination of standard angles using sum, difference, or half-angle formulas to yield a simplified radical form, 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(29^∘)=1/cos(29^∘)

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