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Show that None of the Following is an Identity: `Sin^2 Theta + Sin Theta =2` - Mathematics

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प्रश्न

Show that none of the following is an identity: 

`sin^2 theta + sin  theta =2`

उत्तर

`sin^2 theta + sin  theta =2`

LHS = `sin^2 theta + sin theta`

        =`1- cos^2 theta + sin theta `

        =`1- ( cos ^2 theta - sin theta )`

 Since LHS ≠ RHS, this is not an identity.

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पाठ 8: Trigonometric Identities - Exercises 1

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 8 Trigonometric Identities
Exercises 1 | Q 36.2

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