Question

Question #6aefa

Answer 1

`LHS=(tan x - sin x) / sin ^3 x`

`=(sinx/cosx - sin x) / sin ^3 x`

`=(sinx(1/cosx - 1) )/ sin ^3 x`

`=((1-cosx)/cosx) / sin ^2 x`

`=(1-cosx)/(cosx(1-cos ^2 x))`

`=(1-cosx)/(cosx(1-cos x)(1+cosx))`

`= 1 / ((1 + cos x) cos x)=RHS`

Proved