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

Want more problems? Check here!