Simplify : $\frac{cosA}{1+tanA}-\frac{sinA}{1+cotA}$
Answer & explanation
Correct answer: option 2
$\frac{cosA}{1+tanA}-\frac{sinA}{1+cotA}$
= \(\frac{cosA }{1 + sinA / cosA}\) - \(\frac{sinA }{1 + cosA / sinA}\)
= \(\frac{cos2A - sin2A }{cosA+ sinA}\)
= cosA - sinA