If $x = cosec θ + cot θ, y = cosec θ - cot θ$ then which of the following is true?

x + y = 0

x - y = 0

\frac{x}{y} = 1

x y = 1

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x = cosec θ + cot θ, y = cosec θ - cot θ

then which of the following is true?

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Text solutionVerified

x y = (cosec θ + cot θ) (cosec θ - cot θ) = cosec^{2} θ - cot^{2} θ \Rightarrow x y = 1

(From trignometric laws,

cosec^{2} θ = 1 + cot^{2} θ

)

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Question Text	If $x = cosec θ + cot θ, y = cosec θ - cot θ$ then which of the following is true?
Answer Type	Text solution:1
Upvotes	150