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प्रश्न
Show that none of the following is an identity:
`sin^2 theta + sin theta =2`
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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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संबंधित प्रश्न
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Activity:
`5/(sin^2theta) - 5cot^2theta`
= `square (1/(sin^2theta) - cot^2theta)`
= `5(square - cot^2theta) ......[1/(sin^2theta) = square]`
= 5(1)
= `square`
If tan θ + cot θ = 2, then tan2θ + cot2θ = ?
