You can put this solution on YOUR website! Need to prove the given identities
2csc 2x cot x = 1 + cot^2 x
..
Start with left side
2csc 2x cot x
=2/sin2x(cosx/sinx)
=(2/2insxcosx)(cosx/sinx)
=1/sinxcosx)(cosx/sinx)
=1/sin^2x
=sin^2x+cos^2x/sin^2x
=sin^2x/sin^2x+cos^2x/sin^2x
=1+cot^2x
Proof: left side = right side