हिंदी

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

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प्रश्न

Show that none of the following is an identity:

`tan^2 theta + sin theta = cos^2 theta`

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उत्तर

`tan^2 theta + sin theta = cos^2 theta`

 LHS = `tan^2 theta + sin theta `

       =`(sin^2 theta)/(cos^2 theta) + sin theta`

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

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

  Since LHS ≠ RHS, this is not an identity.

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अध्याय 13: Trigonometric identities - Exercises 1

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 13 Trigonometric identities
Exercises 1 | Q 36.3

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