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

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प्रश्न

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

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उत्तर

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

      =`(1-(sin^2 theta)/(cos^2 theta))/(1+(sin^2 theta)/(cos^2 theta))`

      =`(cos^2 theta- sin^2 theta)/(cos^2 theta+ sin ^2 theta)`

     =`(cos^2 theta+sin^2 theta)/1`

    =`cos^2 theta- sin^2 theta`

    = RHS

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अध्याय 8: Trigonometric Identities - Exercises 1

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 8 Trigonometric Identities
Exercises 1 | Q 18.1

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