Help solve algebraically: sin2t cost - cos2t sint = 0 on the interval: (in description)

Question

problem in title but with interval being: 0 is less than or equal to theta which is less than or equal to 2 pi. Can someone also solve it using the Subtraction Identity

Answer 1

What is the sin(2t-t)? sin 2t cos t - cos 2t sin t = sin t!

And sin t = 0 when t = 0,pi and 2pi!