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What is the Value of (1 + Cot2 θ) Sin2 θ?

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Question

What is the value of (1 + cot2 θ) sin2 θ?

Answer in Brief
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Solution

We have, 

`(1+cot^2 θ)sin^2θ= cosec^2θxxsin^2θ` 

`= (1/sinθ)^2 xx sin^2θ` 

= `1/sin^2θxxsin^2θ` 

`=1`

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Chapter 11: Trigonometric Identities - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 11.43]

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R.D. Sharma Mathematics [English] Class 10
Chapter 11 Trigonometric Identities
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 3. | Page 11.43
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