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What is the Value of 9cot2 θ − 9cosec2 θ? - Mathematics

Sum

What is the value of 9cot2 θ − 9cosec2 θ? 

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Solution

We have, 

`9 cot^2 θ-9 cosec^2θ= 9(cot ^2θ-cosec^2 θ) ` 

                               =` -9(cosec ^2θ-cot θ)` 

We know that,   `cosec ^2 θ-cot ^2 θ-1` 

Therefore, 

\[9 \cot^2 \theta - 9 {cosec}^2 \theta = - 9\]

 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Q 12 | Page 55
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