Higher Math

sinA1+cosA+1cosAsinA \frac{\sin{A}}{1 + \cos{A}} + \frac{1 - \cos{A}}{\sin{A}}

এর মান হচ্ছে-

 sinA1+cosA+1cosAsinA=2sinA/2cosA/22cos2 A/2+2sin2 A/22sinA/2cosA/2=tanA/2+tanA/2=2tanA/2 \text { } \begin{aligned} \frac{\sin \mathrm{A}}{1+\cos \mathrm{A}}+\frac{1-\cos \mathrm{A}}{\sin \mathrm{A}} & =\frac{2 \sin \mathrm{A} / 2 \cos \mathrm{A} / 2}{2 \cos ^{2} \mathrm{~A} / 2}+\frac{2 \sin ^{2} \mathrm{~A} / 2}{2 \sin \mathrm{A} / 2 \cos \mathrm{A} / 2} \\ & =\tan \mathrm{A} / 2+\tan \mathrm{A} / 2=2 \tan \mathrm{A} / 2 \end{aligned}

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