Question

If $\sin \theta =\frac{3}{5}$, then the value of $\text{cosec}\theta$ is

• A. $\frac{4}{5}$
• B. $\frac{5}{3}$
• C. $\frac{4}{3}$
• D. $\frac{5}{4}$

Answer 1

The correct option is B $\frac{5}{3}$

Given $\sin \theta =\frac{3}{5}$

We know that $\text{cosec}\theta =\frac{1}{\sin \theta }=\frac{1}{\frac{3}{5}}$

$\therefore$ $\text{cosec}\theta =\frac{5}{3}$