Prove the identity: csc²x - cot²x = 1.
a. Use the Pythagorean identities and simplify csc²x - cot²x
b. Use the reciprocal identities to rewrite csc²x and cot²x
c. Substitute sin(x) and cos(x) into csc²x and cot²x and simplify
d. Use the unit circle to prove that csc²x - cot²x = 1