हिंदी

Show that none of the following is an identity: cos^2theta + cos theta = 1

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प्रश्न

Show that none of the following is an identity:

`cos^2theta + cos theta = 1`

योग
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उत्तर

  `cos^2theta + cos theta =1` 

LHS = `cos^2 theta + cos theta` 

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

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

    Since LHS ≠ RHS, this 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. (i) | पृष्ठ ६१८

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