Can someone help me prove these two identities?

I have to prove these two identities and they're really giving me a hard time :/

I need to see all the steps taken.

1) sin^4 β - cos^4 β = 1 - 2cos^2 β

2) cos Φ/(1 + sinΦ) + (1 + sin Φ)/cos Φ = 2sec Φ

thank youuuu!