Question

Evaluate the expression, using a calculator if necessary. Round your answer to four decimal places. What is the secant of 4π/11?

Answer 1

To evaluate the expression sec(4π/11), we can use a calculator. The secant function is the reciprocal of the cosine function, so we need to find the cosine of 4π/11 first.

Step-by-step explanation:

To evaluate the expression sec(4π/11), we can use a calculator. The secant function is the reciprocal of the cosine function, so we need to find the cosine of 4π/11 first.

Using a calculator, the cosine of 4π/11 is approximately 1.2724.

To find the secant, we take the reciprocal of the cosine: sec(4π/11) ≈ 1/1.2724 ≈ 0.7867.