(sin A)/(1+cosA) +(1+cos A)/ (sinA ) এর মান হয় :

Explanation:

Another Explanation (5): সমাধান: প্রদত্ত রাশিমালা: \(\frac{\sin A}{1+\cos A} + \frac{1+\cos A}{\sin A}\) লসাগু নিয়ে যোগ করে পাই, = \(\frac{\sin^2 A + (1+\cos A)^2}{\sin A (1+\cos A)}\) = \(\frac{\sin^2 A + 1 + 2\cos A + \cos^2 A}{\sin A (1+\cos A)}\) আমরা জানি, \(\sin^2 A + \cos^2 A = 1\) = \(\frac{1 + 1 + 2\cos A}{\sin A (1+\cos A)}\) = \(\frac{2 + 2\cos A}{\sin A (1+\cos A)}\) = \(\frac{2(1 + \cos A)}{\sin A (1+\cos A)}\) = \(\frac{2}{\sin A}\) আমরা জানি, \(\frac{1}{\sin A} = \csc A\) = \(2 \csc A\) অতএব, \(\frac{\sin A}{1+\cos A} + \frac{1+\cos A}{\sin A} = 2 \csc A\) 🎉🎉