Question

differentiate the function sin(ax+b)/cos(cx+d)​

Answer 1

$\frac{d}{dx} ( \frac{ \sin(ax + b) }{ \cos(cx + d) } )\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ = \frac{ \frac{d}{dx}( \sin(ax + b)) \times \cos(cx + d) - \sin(ax + b) \times \frac{d}{dx} (\cos(cx + d))}{\cos^{2} (cx + d) } \\ = \frac{a \times \cos(ax + b) \times \cos(cx + d) - \sin(ax + b) \times c(- \sin(cx + d)) }{ {cos}^{2} (cx + d)}$