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I just let tan5x = sin5x/cos5x then use de moivres to get them in terms of their imaginary and real components but from there i cant seem to simplify it to RHS.

Not sure where to start for part b. I tried it a few times starting with RHS and got nowhere and I'm not sure how to introduce cos^3 and sin^4 for LHS

I'm unsure how to apply de mo theorem to these questions because of the +1 in the brackets. How would you apply the theorem in this case?

The answer is A but I'm confused. Isnt velocity always changing? And if A is right wouldn't that make C right aswell? Also, does the angular velocity change or is it constant at these two points and why? Where x is at a higher altitude than y