Question

Trig I need to verify the identity for the equation in the pic #3

Answer 1

According to the trigonometric identities, we have that:

`\begin{gathered} \sin x=(1)/(cscx) \\ \tan x=(1)/(cotx) \end{gathered}`

Substitute the expressions:

`(\sin x)/(\tan^2x)=((1)/(cscx))/(((1)/(cotx))2)`

Simplify:

`=((1)/(cscx))/((1)/(cot^2x))`

Cross Multiplication:

`=(1* cot^2x)/(1* cscx)=(cot^2x)/(cscx)`