Chapter 12.9, Problem 37PPS

To determine

To solve the given equation and round to the nearest tenth if necessary.

Answer to Problem 37PPS

No solution

Explanation of Solution

Given: $\csc \theta =\frac{1}{2}$

  $\begin{array}{l}\csc \theta =\frac{1}{2}\\ \Rightarrow \frac{1}{\sin \theta }=\frac{1}{2}\\ \Rightarrow \sin \theta =2\end{array}$

Since value of modulus of sin function can not be greater than 1. But here modulus of given value is 2.

Hence, there is no possible solution for the given equation. The given equation is invalid.