Question

Verify identity:

sinˆ2(2t)/sinˆ2(t)=4-4sinˆ2(t)

Answer 1

There are a few helpfull identities here, one is that sin^2(u) = 1-cos^2(u), for u=2t and another will be the half angle formula: sin2t=2cost*sint

Answer 2

for the RHS (right hand side) think of it as 4(1-sin^2(t)

Answer 3

Thanks a million!