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(I)` (1-cos^2 Theta )Cosec^2theta = 1` - Mathematics

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Question

(i)` (1-cos^2 theta )cosec^2theta = 1`

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Solution

LHS= `(1-cos^2 theta) cosec^2 theta`

      =`sin ^2 theta cosec^2 theta           (∵ cos^2 theta + sin^2 theta =1)`

      =`1/(cosec^2theta) ×cosec^2theta`

     =1

Hence, LHS = RHS

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Chapter 8: Trigonometric Identities - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 1 | Q 1.1

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