Question

If $cosecx=\frac{25}{15}$, $\sin x=$

Answer 1

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

Here, it is given that $cosecx=\frac{25}{15}$, therefore,

$\sin x=\frac{1}{cosecx}=\frac{1}{\frac{25}{15}}=1\times \frac{15}{25}=\frac{15}{25}$

Hence, $\sin x=\frac{15}{25}$.