(1+cos 2θ)/sin2θ =?

প্রশ্ন: \(\frac{1+\cos 2\theta}{\sin 2\theta} = ?\)

আমরা জানি, \( \cos 2\theta = 2\cos^2 \theta - 1 \) এবং \( \sin 2\theta = 2\sin \theta \cos \theta \)

সুতরাং,

\(\frac{1+\cos 2\theta}{\sin 2\theta} = \frac{1 + (2\cos^2 \theta - 1)}{2\sin \theta \cos \theta}\) 🧐

\(= \frac{2\cos^2 \theta}{2\sin \theta \cos \theta}\) 😊

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

\(= \cot \theta\) 😎

অতএব, \(\frac{1+\cos 2\theta}{\sin 2\theta} = \cot \theta\)