Question

Solve: ${(1+tanA +cosA)(sinA-cosA)}$

Answer 1

$\huge\boxed{\fcolorbox{red}{silver}{ รσℓµƭเσɳ :- }}$

$➟ (1 + tanA + cotA) \: (sinA - cosA)$

$➟(1 + \frac{sin A }{cos A } + \frac{cos A}{sin A})(sinA - cosA)$

$➟ \frac{ {sin}^{3} A - {cos}^{3} A } {sin Acos A } = \frac{ {sin}^{2} A}{cosA} - \frac{ {cos}^{2} A}{sin A }$

$\boxed{ ➟sinAtanA - cosAcotA } .$

$\red{ ɦσρε \: เƭ \: ɦεℓρร ! } .$