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Multiple Choice Questions

What is are the solutions of the trigonometric equation cosec x cot x where 0 lt x lt 2 ........

Mathematics (NDA) Trigonometry

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What is/are the solutions of the trigonometric equation cosec x + cot x = $\sqrt{3}$ , where 0 < x < 2 $\pi$ ?

5 $\pi$ /3 only

$\pi$ /3 only

$\pi$ only

$\pi$ , $\pi$ /3,5 $\pi$ /3

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Explanation:

cosec x+cot x=√3
cosec x−cot x=1/√3
⇒2cosec x=√3+1/√3=4/√3

⇒cosec x=2/√3

⇒sin x=√3/2

Possible values of x=π/3 ,2π/3

∴ Option (2) is correct.

By: Munesh Kumari

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