Basic trigonometry question. – math.stackexchange.com

Basic trigonometry question. – math.stackexchange.com

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If $0<A_1<A_2<\dots<A_n<\pi/2$, then prove that $$\tan A_1<\frac{\sin A_1+\sin A_2+\dots+\sin A_n}{\cos A_1+\cos A_2+\dots+\cos A_n}<\tan A_n$$ I have approached it in this way ...

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