Correct Answer: Option B

Explanation

cot\(\theta\) = \(\frac{1}{\cos \theta}\)

= \(\frac{8}{15}\)(given)

tan\(\theta\) = \(\frac{15}{8}\)

By Pythagoras' theorem,

x\(^2\) = 15\(^2\) + 8\(^2\)

x\(^2\) = 225 + 64 = 289

x = \(\sqrt{289}\)

= 17

Hence sin\(\theta\) = \(\frac{15}{x}\)

= \(\frac{15}{17}\)

There is an explanation video available below.

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