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

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Question

`1+(tan^2 theta)/((1+ sec theta))= sec theta`

Solution

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

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

      =`1+((sec theta +1)(sec theta-1))/((sec theta +1))`

     =`1+ (sec theta-1)`

     =`sec 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 8.2

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