Posted by **Heather** on Friday, August 15, 2014 at 12:14pm.

I can't seem to prove these trig identities and would really appreciate help:

1. cosx + 1/sin^3x = cscx/1 - cosx

I changed the 1: cosx/sin^3x + sin^3x/sin^3x = cscx/1-cosx

Simplified: cosx + sin^3x/sin^3x = cscx/1-cosx

I don't know where to go from there.

2. (sinx + cosx)(tanx + cotx) = secx + cscx

I made this into (sinx + cosx)(sinx/cosx + cosx/sinx) = secx + cscx

FOILed: sin^2x/cosx + sinxcosx/sinx + sinxcosx/cosx + cos^2x/sinx

Did I go wrong somewhere? What do I do next?

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