Question

please answer fast it's trignometry​

Answer 1

Step-by-step explanation:

$\sf \frac { {cos}^{3}A - {sin}^{3}A }{cosA - sinA } - \frac { {cos}^{3}A + {sin}^{3}A }{cosA + sinA }$

$\sf \frac { (cosA - sinA)({cos}^{2}A + {sin}^{2}A + sinAcosA }{cosA -sinA} - \frac { (cosA + sinA)({cos}^{2}A + {sin}^{2}A - sinAcosA }{cosA + sinA}$

$\sf 1 + sinAcosA - ( 1 - sinAcosA )$

$\sf 1 + sinAcosA - 1 + sinAcosA$

$\sf 2sinAcosA$

$\sf R.H.S.$

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