Find the Exact Value sec(22)

Problem

sec(22)

Solution

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

2. Determine if the angle 22 is a standard reference angle (like 0,30,45,60,90.

3. Conclude that 22 is not a standard reference angle, and its exact value cannot be expressed using simple radicals or basic algebraic constants without using complex half-angle or triple-angle formulas that result in nested radicals.

4. State the value as the trigonometric function itself since an "exact value" in simplest radical form is not standard for this specific integer degree.

Final Answer

sec(22)=sec(22)

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