![enter image description here](https://i.stack.imgur.com/EbIE8.jpg)

**Ok so this question, I started out writing tan as sin and cos in the right side of the equation, simplified as much as possible and ended up with a very (sort of) fascinating equation which is**

![enter image description here](https://i.stack.imgur.com/mVuCC.jpg)

*Where s = sin thetha and c= sin thetha*

As you can see the denominator and numerator looks very simple where on top sin x is with the power 5 and in the bottom cos x is with the power 5.

**Then I went onto applying the De Movire theorem**

And then ended up with- 

![enter image description here](https://i.stack.imgur.com/gke8d.jpg)

As you can see the required terms sin 5 thetha and cos 5 thetha is there, but now all I need is to cancel out those two other terms in both denominator and numerator. I simply cant find a way in which those cancel off, My question is-

**How do I proceed from here?? And if I had done something wrong (if those dont cancel) then where did I go wrong? Please help**