Find the derivative of \(\frac {\sin\theta}{\cos\theta}\)

Explanation

\(\frac {\sin\theta}{\cos\theta}\)

\(\frac{\cos \theta {\frac{d(\sin \theta)}{d \theta}} - \sin \theta {\frac{d(\cos \theta)}{d \theta}}}{\cos^2 \theta}\)

\(\frac{\cos \theta. \cos \theta - \sin \theta (-\sin \theta)}{cos^2\theta}\)

\(\frac{cos^2\theta + \sin^2 \theta}{cos^2\theta}\)

Recall that sin² \(\theta\) + cos² \(\theta\) = 1

\(\frac{1}{\cos^2\theta}\) = sec² \(\theta\)

There is an explanation video available .