CosA/(1-tanA) - sin^2A/(coaA-sinA) = cosA+sinA prove it

1.	CosA/(1-tanA) - sin^2A/(coaA-sinA) = cosA+sinA prove it
Answer» Step-by-step EXPLANATION: $\implies \sf{\dfrac{cosA}{1-tanA} -\dfrac{sin^2A }{cosA - sinA} }$ $\sf{\implies \dfrac{cosA}{1-\frac{sinA}{cosA}} - \dfrac{sin^2}{cosA-sinA}}$ $\sf{\implies \dfrac{cosA}{\frac{cosA-sinA}{cosA}} - \dfrac{sin^2}{cosA-sinA}}$ $\sf{\implies \dfrac{cos^2A}{cosA-sinA} - \dfrac{sin^2}{cosA-sinA}}$ $\sf{\implies \dfrac{cos^2A-sin^2A}{cosA-sinA}}$ $\sf{\implies \dfrac{(cosA+sinA)(cosA-sinA)}{cosA-sinA}}$ $\implies \sf{cosA + sinA}$

Answer»

Step-by-step EXPLANATION:

$\implies \sf{\dfrac{cosA}{1-tanA} -\dfrac{sin^2A }{cosA - sinA} }$