Question:
I need to figure out how to prove that sec²x + csc²x = sec²x csc²x. I am not sure where to start out with it and whether I should use reciprocal, quotient, or pythagorean. Thank you in advance.

Hi Ryan,

I'm not sure that it matters much which way you approach this problem. One way is to write the secant and cosecant functions in terms of sines and cosines and simplify both sides using the fact that sin²x + cos²x = 1.

Cheers,
Penny