हिंदी

Show that none of the following is an identity: sin^2 theta + sin theta = 2

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प्रश्न

Show that none of the following is an identity: 

`sin^2 theta + sin theta = 2`

योग
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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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अध्याय 13: Trigonometric identities - EXERCISE 13A [पृष्ठ ६१८]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 13 Trigonometric identities
EXERCISE 13A | Q 31. (ii) | पृष्ठ ६१८

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