Find the Exact Value sec(540)

Problem

sec(540)

Solution

1. Subtract multiples of 360 to find the coterminal angle within the standard range of 0 to 360

540−360=180

2. Identify the relationship between the secant function and the cosine function.

sec(180)=1/cos(180)

3. Determine the value of the cosine function at 180 using the unit circle.

cos(180)=−1

4. Substitute the value back into the secant expression and simplify.

sec(180)=1/(−1)=−1

Final Answer

sec(540)=−1

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