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`Sin^2 Theta + 1/((1+Tan^2 Theta))=1` - Mathematics

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Question

`sin^2 theta + 1/((1+tan^2 theta))=1`

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Solution

LHS=  `sin^2 theta + 1/((1+ tan^2 theta))`

     =` sin^2 theta + 1/(sec^2 theta)     (∵ sec^2 theta - tan^2 theta =1 )`

    = `sin^2 theta + cos^2 theta`

    = 1

   =RHS

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Chapter 8: Trigonometric Identities - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 1 | Q 3.1

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