I would like assistance with the following questions, please show all steps/work taken. thank you

Name. 1. Prove the following trigonometric identity below or determine a counterexample to show that it is not an identity. [6 T] sin3xcosx = 3sinxcos3x - sin3xcosx 2. For the following equation, solve and check for x for 0 S x S 27. Round your final answer(s) to the nearest tenth if necessary. [7 T] -10cos2x - 3sinx + 9 = 0