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

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Question

Show that none of the following is an identity: 

`sin^2 theta + sin  theta =2`

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Solution

`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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Chapter 13: Trigonometric identities - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Trigonometric identities
Exercises 1 | Q 36.2
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