Find the Exact Value sec(1)

Problem

sec(1)

Solution

1. Identify the expression as the secant of 1 radian.

2. Recognize that 1 is not a standard angle (like 0 π/6 π/4 π/3 or π/2 for which the exact value can be expressed using simple radicals or integers.

3. Apply the reciprocal identity for secant, which states that sec(x)=1/cos(x)

4. Determine that since 1 is not a special angle, the exact value is simply the expression itself or its reciprocal form.

Final Answer

sec(1)=1/cos(1)

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