- #1

anemone

Gold Member

MHB

POTW Director

- 3,883

- 115

Question:

Find the minimum of $6\sin x+8\cos x+5$. Hence, find the minimum of $(6\sin x+8\cos x)^2+5,\,(6\sin x+8\cos x)^3+5$ and $(6\sin x+8\cos x)^4+5$.

It is important to stress that students are expected to solve it via trigonometry route but not other methods.

I would feel the "hence" implies that the first part of the question greatly help to reach to the answers for the subsequent parts of the problem, but not that I could see it...therefore, any insight would be helpful and thanks in advanced for the help!