Question

(sin(x)+tan(x))/tan(csc(x)+cot(x)) express as a single trigonometric function?

Answer 1

`(sin(x)+tan(x))/(tanx(csc(x)+cot(x))`

`=(sin(x)+sin(x)/cos(x))/(tanxcsc(x)+tanxcot(x))`

`=(sin(x)+sin(x)sec(x))/(sinx/cosx xx1/sin(x)+1)`

`=(sin(x)(1+sec(x)))/(sec(x) +1)`
`=sinx`