If 1+Cosα+Cos2α+ - - ---=2–2 thenα(0<α<π) is

1+Cos α+Cos2α+ - - =2–2 11-cos α =2-2 1-cos α=2+22 -cos α=12 cos α=-12 α=1350

If 1+Cosα+Cos2α+ - - ---=2–2 thenα(0<α<π) is

1+Cos α+Cos2α+ - - =2–2 11-cos α =2-2 1-cos α=2+22 -cos α=12 cos α=-12 α=1350

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$I f 1 + C o s α + C o s^{2} α + - - - - - = 2 - \sqrt{2} t h e n α (0 < α < π) i s$

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$1 + Cos α + {Cos}^{2} α + - - = 2 - \sqrt{2} \frac{1}{1 - \cos α} = 2 - \sqrt{2} 1 - \cos α = \frac{2 + \sqrt{2}}{2} - \cos α = \frac{1}{\frac{2}{}} \cos α = - \frac{1}{\frac{2}{}} α = 135^{0}$

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If 1+Cosα+Cos2α+ - - ---=2–2 thenα(0<α<π) is

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$I f 1 + C o s α + C o s^{2} α + - - - - - = 2 - \sqrt{2} t h e n α (0 < α < π) i s$