​ Solve: ​(sin(ax + b))/(cos(cx + d))

Question

Solve: \(\frac{sin(ax + b)}{cos(cx + d)}\)

Answer 1

\(y = \frac{sin(ax + b)}{cos(cx + d)}\)

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

\(= \frac{acos(cx + d)cos(ax + b) + csin(ax + b)sin(cx + d)}{cos^2(cx + d)}\)