Math, asked by Priyam2140, 1 year ago

The sum of all the solutions of the equation cosx cos(pi/3+x) cos(pi/3-x)=1/4 and x belongs to (0,6pi) (close interval) is?

Answers

Answered by ankit8947
5
L.H.S = cos3x/2
so, cos3x = 1/2
3x = π/3 , 5π/3 , and 4 such more
so x = π/9 , 5π/9 , 7π/9 , 11π/9 , 13π/9 , 17π/9

so these 6 are the solution


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