Correct Answer: Option A

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 below.

• two points p andq ,30m apart from the same straight line,the side and the same groundlevel as the foot of... Answer this

  0 Answers   ·   Mathematics   ·   5 minutes ago
• If 350cm of a gas at stp has a mass of 0.3g what is the molar mass? Answer this

  0 Answers   ·   Chemistry   ·   2 hours ago
• Past questions based on bureaucracy? Answer this

  0 Answers   ·   Government   ·   3 hours ago