Question

If $\sin x=\frac{3}{5}$, then $\text{cosec}x=?$

Answer 1

We know that $cosecx$ is inverse of $\sin x$ that is $\csc x={\sin }^{-1}x=\frac{1}{\sin x}$.

Here, it is given that $\sin x=\frac{3}{5}$, therefore,

$cosecx=\frac{1}{\sin x}=\frac{1}{\frac{3}{5}}=1\times \frac{5}{3}=\frac{5}{3}$

Hence, $cosecx=\frac{5}{3}$.