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1-cos-4-7-1-cos-4-2-7-1-cos-4-3-7-




Question Number 150482 by mathdanisur last updated on 12/Aug/21
(1/(cos^4  (𝛑/7)))  +  (1/(cos^4  ((2𝛑)/7)))  +  (1/(cos^4  ((3𝛑)/7)))  =  ?
$$\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{4}} \:\frac{\boldsymbol{\pi}}{\mathrm{7}}}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{4}} \:\frac{\mathrm{2}\boldsymbol{\pi}}{\mathrm{7}}}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{4}} \:\frac{\mathrm{3}\boldsymbol{\pi}}{\mathrm{7}}}\:\:=\:\:? \\ $$
Commented by liberty last updated on 13/Aug/21
=374
$$=\mathrm{374} \\ $$
Commented by mathdanisur last updated on 13/Aug/21
Thanks Ser, how.?
$$\mathrm{Thanks}\:\mathrm{Ser},\:\mathrm{how}.? \\ $$

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