If 7cosecθ=8, then cotθsinθ=

cosecθ$$=87cot$$θ$$=157sin$$θ$$=78cot$$θ$$sin$$θ$$=157$$×$$87=81549$$

Q.

If $7cosec θ = 8$ , then $\frac{\cot θ}{\sin θ} =$

Moderate

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By Expert Faculty of Sri Chaitanya

$\frac{8 \sqrt{15}}{49}$

$\frac{7}{\sqrt{15}}$

$\frac{\sqrt{15}}{8}$

$\frac{7}{8}$

answer is A.

(Detailed Solution Below)

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Detailed Solution

$cosec θ = \frac{8}{7}$

$\cot θ = \frac{\sqrt{15}}{7}$

$\sin θ = \frac{7}{8}$

$\frac{\cot θ}{\sin θ} = \frac{\sqrt{15}}{7} \times \frac{8}{7} = \frac{8 \sqrt{15}}{49}$

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