can someone help me prove the identities on this:

1- 1/2 sin2θ = sin^3θ + cos^3θ / sinθ + cosθ

You will need brackets to establish the proper order of operations.

e.g , the way you have it, the cos^3 Ø would be divided by sinØ, but it probably is divided by (sinØ + cosØ)
etc.