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

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प्रश्न

`1+((tan^2 theta) cot theta)/(cosec^2 theta) = tan theta`

उत्तर

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

       =` (sec^2 theta cot theta)/(cosec^2 theta )`

       =`(1/cos^2thetaxxcos theta/sin theta)/(1/sin^2 theta)`

       =`1/(cos theta sin theta) xx sin^2 theta`

        =`sintheta/costheta`

         =` tan theta`

          =RHS 

         Hence, LHS = RHS

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अध्याय 8: Trigonometric Identities - Exercises 1

APPEARS IN

आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 8 Trigonometric Identities
Exercises 1 | Q 9

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