Question

How do you verify `2csc2x=secxcscx`?

Answer 1

Use the double angle formula : `sin2x= 2sinxcosx`

Explanation:

`"Left Hand Side"=2csc2x`

Recall that : `cscx=1/sinx`

`=>2csc2x=2*1/sin2x=2/(2sinxcosx)=1/(sinxcosx)=1/sinx*1/cosx=color(blue)(secxcscx)`

As required.