answer C
There are two easy ways to simplify the given expression. Both involve using identities. The first way is to immediately factor the expression into (1 ? cos2x)(1 + tan2x). Then, using the identities 1 ? cos2x = sin2x and 1 + tan2x = sec2x, the expression is simplified to sin2(x)sec2(x), which can be furthered simplified:
The other way takes slightly longer but requires the use of fewer identities.