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3 years ago

9

What is the domain of validity for csc theta = 1 / sin theta?

1 answer:

Rashid [163]3 years ago

4 0

$De finition\ of\ csc\theta=\frac{1}{sin\theta}\\-----------------------\\therefore\ csc\theta=\frac{1}{sin\theta}\to\frac{1}{sin\theta}=\frac{1}{sin\theta}\\\\the\ denominator\ must\ be\ different\ from\ zero,\ therefore\\\\sin\theta\neq0\iff\theta\neq k\pi\ where\ k\in\mathbb{Z}\\\\Answer:\boxed{D}$

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Step-by-step explanation:

Part 1) we know that

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ValentinkaMS [17]

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Step-by-step explanation:

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