मराठी

What is the value of 6tan2⁡θ−6cos2⁡θ

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प्रश्न

What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]

बेरीज
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उत्तर

We have, 

`6 tan^2 θ-6/cos^2 θ= 6 tan^2 θ-6 sec ^2 θ` 

= `-6 (sec^2θ-tan^2 θ)`    ...{`sec ^2 θ-tan ^2 θ-1` }

= -6 × 1

= -6

\[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]

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पाठ 11: Trigonometric Identities - Exercise 11.3 [पृष्ठ ५५]

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आर.डी. शर्मा Mathematics [English] Class 10
पाठ 11 Trigonometric Identities
Exercise 11.3 | Q 13 | पृष्ठ ५५

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The value is cosec θ = `41/9`, and sin θ = `9/41`


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