Chapter 6.2, Problem 25AYU

To determine

To find: The exact value of $\csc \left(\frac{11\pi }{2}\right)$

Answer to Problem 25AYU

Solution:

  $\csc \left(\frac{11\pi }{2}\right)= -1$

Explanation of Solution

Given:

  $\csc \left(\frac{11\pi }{2}\right)$

Calculation:

  $\csc \left(\frac{11\pi }{2}\right)=\csc \left(4\pi +\frac{3\pi }{2}\right)=\csc \left(\frac{3\pi }{2}\right)=\frac{1}{\sin \left(\frac{3\pi }{2}\right)}=-1$