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Question

If cosecθcotθ=13, then the value of (cosecθ+cotθ) is :

A
1
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B
2
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C
3
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D
4
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Solution

Given:

cosecθcotθ=13

3(cosecθcotθ)=(cosec2θcot2θ)
[Since, 1=cosec2θcot2θ]
3(cosecθcotθ)=(cosecθcotθ)(cosecθ+cotθ)
(cosecθ+cotθ)=3

required answer is 3.

Hence, Option D is correct.


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