I'm stumped on these two problems for my homework, if someone could help me out I'd appreciate it.
note the #'s in front of the x are supposed to be exponents
It took me a little while to think of the first one, but since I'm studying for a test, I decided to just try it until it worked, and I finally got it.
1) (tan^2x+1)(cos^2x-1) = -tan^2x
Using the Left Hand Side
* where: tan^2x =sin^2x/cos^2x
** sec^2= 1 + tan^2x
1 = sin^2x + cos^2x (divided by cos^2x)
2) 2+cos^2x-3cos^4x = sin^2x(2+3cos^2x)
Using the Right hand side
= 2sin^2x + 3sin^2cos^2x
Using the Identities:
1 = sin^2x + cos^2x