operatorname{cosec} 48^{circ}+operatorname{co | vedclass

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Question

(C) ધારો કે $S = \operatorname{cosec} 48^{\circ} + \operatorname{cosec} 96^{\circ} + \operatorname{cosec} 192^{\circ} + \operatorname{cosec} 384^{\cir

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(C) ધારો કે $S = \operatorname{cosec} 48^{\circ} + \operatorname{cosec} 96^{\circ} + \operatorname{cosec} 192^{\circ} + \operatorname{cosec} 384^{\circ}$.$\operatorname{cosec} 	heta = \frac{1}{\sin 	heta}$ નિત્યસમનો ઉપયોગ કરતા:$S = \frac{1}{\sin 48^{\circ}} + \frac{1}{\sin 96^{\circ}} + \frac{1}{\sin 192^{\circ}} + \frac{1}{\sin 384^{\circ}}$.$\sin 192^{\circ} = -\sin 12^{\circ}$ અને $\sin 384^{\circ} = \sin 24^{\circ}$ હોવાથી,$S = \frac{1}{\sin 48^{\circ}} + \frac{1}{\sin 96^{\circ}} - \frac{1}{\sin 12^{\circ}} + \frac{1}{\sin 24^{\circ}}$.આ પદોનું સાદું રૂપ આપતા અંતિમ જવાબ $0$ મળે છે.

$\operatorname{cosec} 48^{\circ}+\operatorname{cosec} 96^{\circ}+\operatorname{cosec} 192^{\circ}+\operatorname{cosec} 384^{\circ} = $

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