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If Cosec θ − Cot θ = α, Write the Value of Cosec θ + Cot α. - Mathematics

Answer in Brief

If cosec θ − cot θ = α, write the value of cosec θ + cot α.

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Solution

Given: `cosec θ-cot θ=α` 

We know that, `cosec^2θ-cot^2θ=1` 

Therefore, 

`cosec^2 θ-cot^2θ=1` 

⇒ `(cosec θ+cot θ) (cosec θ-cot θ)=1` 

⇒ `(cosecθ+cot θ )α=1` 

⇒ `(cosec θ+cot θ)=1/α`

 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Q 6 | Page 55
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