मराठी

At which values is \[\tan x=\dfrac{\sin x}{\cos x}\] not continuous?

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प्रश्न

At which values is \[\tan x=\dfrac{\sin x}{\cos x}\] not continuous?

पर्याय

  • \[x=2n\pi,\ n\in\mathbb{Z}\]

  • \[x=\dfrac{(2n+1)\pi}{2},\ n\in\mathbb{Z}\]

  • \[x=n\pi,\ n\in\mathbb{Z}\]

  • \[x=\dfrac{n\pi}{2},\ n\in\mathbb{Z}\]

MCQ
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उत्तर

The function \[\tan x\] is continuous wherever \[\cos x\neq 0\]. Since \[\cos x=0\] at \[x=\frac{(2n+1)\pi}{2}\], \[\tan x\] is not continuous at those values.

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