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BaLLatris [955]
3 years ago
13

What is the best answer for sin(\dfrac{2}{x})=0

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

The sine of an angle is zero if and only if the angle is zero, with a periodicity of \pi

In other words, you have

\sin(\alpha)=0\iff\alpha=0,\ \pm\pi,\ \pm 2\pi\ldots = k\pi,\ k\in\mathbb{Z}

So, we have

\sin\left(\dfrac{2}{x}\right)=0 \iff \dfrac{2}{x}=k\pi \iff x =\dfrac{2}{k\pi}

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