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`Sec Theta (1- Sin Theta )( Sec Theta + Tan Theta )=1` - Mathematics

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प्रश्न

`sec theta (1- sin theta )( sec theta + tan theta )=1`

उत्तर

LHS = `sec theta ( 1- sin theta )(sec theta + tan theta)`

       =` (sec theta - sec theta sin theta) ( sec theta + tan theta)`

       =` (sec theta - 1/(cos theta) xx sin theta )(sec theta+tantheta)`

       =` (sec theta - tan theta ) ( sec theta + tan theta)`

      = `sec ^2 theta - tan ^2 theta`

     =  1

     = 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 7.1

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