tan2t=2sintcostsec2t

Question

Verify the identity.

Answer 1

2sintcost = sin(2t)

 

So, 2sintcostsec(2t) = sin(2t)sec(2t)

 

                              = sin(2t)[1/cos(2t)]

 

                              = sin(2t)/cos(2t) = tan(2t)