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If {cosec}, - =x then {cosec}, + = _____

Question

If $cosec θ - cot θ = x$ then $cosec θ + cot θ =$ _____

x

2 x

\frac{1}{x}

\frac{1}{2 x}

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Liam Discussed

cosec θ - cot θ = x

then

cosec θ + cot θ =

_____

9 mins ago

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Text solutionVerified

cosec θ - cot θ = x

Now,

cose c^{2} θ - cot^{2} θ = 1

\Rightarrow (cosec θ - cot θ) (cosec θ + cot θ) = 1

\Rightarrow x (cosec θ + cot θ) = 1

\Rightarrow cosec θ + cot θ = \frac{1}{x}

Hence, the answer is

\frac{1}{x} .

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Question Text	If $cosec θ - cot θ = x$ then $cosec θ + cot θ =$ _____
Answer Type	Text solution:1
Upvotes	150