If $2sin\theta=1$, then the value of $cot\theta$ is______.

Given:

$2sin\theta=1$.

To do:

We have to find the value of $cot\theta$.

Solution:

 $2sin\theta=1$

$\Rightarrow sin\theta=\frac{1}{2}$

We know that,

$sin\ 30^o=\frac{1}{2}$

This implies,

$sin\theta=sin\ 30^o$

$\theta=30^o$

Therefore,

$cot\theta=cot\ 30^o$

$=\sqrt3$

The value of $cot\theta$ is $\sqrt3$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

19 Views

Kickstart Your Career

Get certified by completing the course

Get Started