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Write the Value of `(1+ Tan^2 Theta ) ( 1+ Sin Theta ) ( 1- Sin Theta)` - Mathematics

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Question

Write the value of `(1+ tan^2 theta ) ( 1+ sin theta ) ( 1- sin theta)`

Solution

`(1+ tan^2 theta )(1+ sin theta )(1- sintheta)`

    =` sec^2 theta (1- sin^2 theta )`

    =`1/ cos^2 theta xx cos^2 theta`

    = 1

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Chapter 8: Trigonometric Identities - Exercises 3

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RS Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 3 | Q 12

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