Complete the sentence below.
The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is and occurs at $x=$
The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is $\square$ and occurs at $x=$ (Simplify your answers. Type exact answers, using $\pi$ as needed.)

Answer

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Final Answer: The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is $\boxed{1}$ and occurs at $x=\boxed{\frac{\pi}{2}}$.

Steps

Step 1 ：The function $y=\sin x$ is a periodic function with period $2\pi$. It reaches its maximum value of 1 at $x=\frac{\pi}{2}$ within the interval $0 \leq x \leq 2 \pi$.

Step 2 ：Final Answer: The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is $\boxed{1}$ and occurs at $x=\boxed{\frac{\pi}{2}}$.

Complete the sentence below.The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is and occurs at $x=$The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is $\square$ and occurs at $x=$ (Simplify your answers. Type exact answers, using $\pi$ as needed.)

Answer

Popular Problems

Complete the sentence below.
The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is and occurs at $x=$
The maximum value of $y=\sin x, 0 \leq x \leq 2 \pi$, is $\square$ and occurs at $x=$ (Simplify your answers. Type exact answers, using $\pi$ as needed.)