Q 3. - Precalculus Enhanced with Graphing Utilities

Question

The maximum value of $y=\sin x$, $0\le x\le 2\mathrm{\pi }$, is _______ and occurs at $x=\_\_\_\_\_\_$.

Step-by-Step Solution

Answer

The fill ups are:

(a) $\frac{\mathrm{\pi }}{2}$

(b) $1$.

Step 1. Given Information.

The maximum value of $y=\sin x , 0\le x\le 2\mathrm{\pi }$ is ______ and occurs at $x=\_\_\_\_\_\_$.

Step 2. Fill up.

The maximum value of $y=\sin x , 0\le x\le 2\mathrm{\pi }$, is  $\frac{\mathbf{\pi }}{\mathbf{2}}$ and occurs at  $\mathit{x}\mathbf{=}\mathbf{1}$.