Make up your OWN identity. Start with a trigonometric expression, and apply substitutions and algebraic processes to create equivalent expressions.

Justify each step. Verify your identity graphically and algebraically.

I have already made up my own identity witch is

1/4 sin^2 (2x) = sin^2(x) * (1-sin^2 (x))

here is what I am expecting you to answer me the following identity is the teachers identity please dont copy just see so you can have an idea on how to work on it :