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प्रश्न
`sin^2 theta + cos^4 theta = cos^2 theta + sin^4 theta`
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उत्तर
LHS = `sin^2 theta + cos ^4 theta`
=`sin^2 theta + ( cos ^2 theta )^2`
=`sin^2 theta + (1- sin^2 theta)^2`
=` sin^2 theta + 1 -2 sin^2 theta + sin ^4 theta`
=`1-sin^2 theta + sin^4 theta`
=`cos^2 theta + sin^4 theta`
= RHS
Hence, LHS = RHS
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संबंधित प्रश्न
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Activity:
L.H.S = `square`
= `square/sintheta + sintheta/costheta`
= `(cos^2theta + sin^2theta)/square`
= `1/(sintheta*costheta)` ......`[cos^2theta + sin^2theta = square]`
= `1/sintheta xx 1/square`
= `square`
= R.H.S
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