Find the Exact Value sec(55)

Problem

sec(55)

Solution

1. Identify the expression as the secant of an angle measured in degrees, sec(55)

2. Relate the secant function to the cosine function using the reciprocal identity sec(θ)=1/cos(θ)

3. Determine if 55 is a standard reference angle (like 0,30,45,60,90. Since it is not, the exact value cannot be simplified into basic radicals or integers without using sum/difference formulas or half-angle identities that would result in a more complex nested radical expression.

4. Express the exact value in its simplest trigonometric form or in terms of its reciprocal.

Final Answer

sec(55)=1/cos(55)

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