हिंदी

`Cosec Theta (1+Costheta)(Cosectheta - Cot Theta )=1`

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प्रश्न

`cosec theta (1+costheta)(cosectheta - cot theta )=1`

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उत्तर

LHS = `cosec theta (1+ cos theta )( cosec theta - cot theta)`

       =` (cosec  theta + cosec  theta xx cos theta)(cosec  theta - cot theta)`

    =` (cosec  theta + 1/(sin theta) xx cos theta ) ( cosec  theta - cot theta )`

    =` ( cosec  theta + cot  theta )( cosec  theta - cot  theta)`

    =` cosec^2 theta - cot^2  theta       (∵ cosec^2 theta - cot^2 theta=1)`

     = 1 

     = RHS 

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अध्याय 13: Trigonometric identities - Exercises 1

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 13 Trigonometric identities
Exercises 1 | Q 4.2

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