Maximum and Minimum in Trigonometry

[juantheron]

Homework Statement

Find Maximum and Minimum value of

Homework Equations

$$\mathbf{f(x) = sin^{2n+1}\; x - cos^{2n+1}\; x}$$ and $$\mathbf{n\in\mathbb{N}}$$

The Attempt at a Solution

put $$\mathbf{n=1, f(x) = sin^3\; x -cos^3\; x}$$\\\\

get $$\mathbf{-1\leq f(x)\leq 1}$$

 

[tiny-tim]

welcome to pf!

hi juantheron! welcome to pf!

are you allowed to use calculus?​