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`1/((1+ Sintheta ))+1/((1- Sin Theta ))= 2 Sec^2 Theta` - Mathematics

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Question

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

Solution

LHS =`1/((1+ sin theta)) + 1/((1-sin theta))`

       =` ((1- sin theta )+ (1+ sin theta))/((1+ sin theta)    (1- sintheta))`

      = `2/(1- sin^2 theta)`

      = `2/ (cos^2 theta )`

      = `2 sec^2 theta`

      = RHS

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Chapter 8: Trigonometric Identities - Exercises 1

APPEARS IN

RS Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 1 | Q 6

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