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`Cos^2 Theta + 1/((1+ Cot^2 Theta )) =1`

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Question

`cos^2 theta + 1/((1+ cot^2 theta )) =1`

     

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Solution

LHS = `cos^2 theta + 1/((1+cot^2 theta))`

      =` cos^2 theta + 1/(cosec^2  theta)`

      =` cos^2  theta + sin^2 theta`

      =1

      =RHS

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Chapter 13: Trigonometric identities - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Trigonometric identities
Exercises 1 | Q 5.3
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