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cos-1-43-3-pi-1-2-cos-1-43-3-2pi-2-2-cos-1-43-3-3pi-3-2-api-Find-a-




Question Number 136104 by Dwaipayan Shikari last updated on 18/Mar/21
((cos(1+(√((43)/3)))π)/1^2 )+((cos(1+(√((43)/3)))2π)/2^2 )+((cos(1+(√((43)/3)))3π)/3^2 )+...=aπ  Find a
$$\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\pi}{\mathrm{1}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\mathrm{2}\pi}{\mathrm{2}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\mathrm{3}\pi}{\mathrm{3}^{\mathrm{2}} }+…={a}\pi \\ $$$${Find}\:{a} \\ $$

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