Question

Prove: (sin^(2)A+cos^(2)A)/(sinA+cosA)=1-sinA*cosA

Answer 1

$\mathfrak \red{hello \: friend \: here \: is \: your \: answer : } \\ \sf{ \frac{ {sin {}^{2} \theta + {cos}^{2} \theta}^{} }{ sin\theta + cos \theta} = 1 - sin \theta.cos \theta } \\ \sf{proof : \frac{(sin \theta + cos \theta) {}^{2} - 2sin \theta.cos \theta}{sin \theta + cos \theta} } \\ \sf{ proof : 1 - 2sin \theta.cos \theta}$

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