Find the Exact Value sec(5)

Problem

sec(5)

Solution

1. Identify the input value as 5 radians, as there is no degree symbol indicated.

2. Determine if the value corresponds to a standard angle on the unit circle. Since 5 is not a multiple of π/6 π/4 or π/3 it does not have a standard exact algebraic form using basic radicals.

3. Express the function in terms of its reciprocal identity to relate it to the primary trigonometric functions.

4. Conclude that the exact value is represented by the function itself or its reciprocal form, as further simplification into radicals is not possible for this non-standard angle.

Final Answer

sec(5)=1/cos(5)

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