((cos(π/(19))cos((7π)/(19))cos((8π)/(19))))^(1/3) +((cos((2π)/(19))cos((3π)/(19))cos((5π)/(19))))^(1/3) − −((cos((4π)/(19))cos((6π)/(19))cos((9π)/(19))))^(1/3) =(1/2)((3((19))^(1/3) −1))^(1/3)


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Question Number 173820 by dragan91 last updated on 18/Jul/22

Prove\n $\sqrt[3]{\cos \frac{π}{19} \cos \frac{7 π}{19} \cos \frac{8 π}{19}} + \sqrt[3]{\cos \frac{2 π}{19} \cos \frac{3 π}{19} \cos \frac{5 π}{19}} -$ $- \sqrt[3]{\cos \frac{4 π}{19} \cos \frac{6 π}{19} \cos \frac{9 π}{19}} = \frac{1}{2} \sqrt[3]{3 \sqrt[3]{19} - 1}$
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