Question

Convert the following into simplest form: $\tan (\theta -10\pi )$

Answer 1

We have,

$\tan (\theta -10\pi )$

We know that,

$\tan (2n\pi +\theta )=\tan \theta$ where $n$ is an integer
$\tan (-10\pi +theta)=\tan [2\times (-5)\times \pi +\theta ]=\tan \theta .$

Hence, this is the simplest form.