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What is the Value of (1 − Cos2 θ) Cosec2 θ?

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Question

What is the value of (1 − cos2 θ) cosec2 θ? 

Answer in Brief
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Solution

We have, 

`(1-cos^2 θ) cosec ^2 θ=sin^2θ xx cosec^2 θ`

=` sin^2θ xx(1/sin θ)^2` 

= `sin^2 θ xx1/( sin^2θ)` 

`= 1`

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Chapter 11: Trigonometric Identities - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 11.42]

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R.D. Sharma Mathematics [English] Class 10
Chapter 11 Trigonometric Identities
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 2. | Page 11.42
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