prove that equation sin x sin 2x sin 3x = 1 has no solution
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Given
prove that equation sin x sin 2x sin 3x = 1 has no solution
sin x = 1, sin 2 x = 1, sin 3 x = 1
x = n π + π / 2 , 2 x = n π + π / 2 , 3 x = n π + π / 2
Now x = n π + π / 2, x = n π/2 + π / 2, x = n π/2 + π / 6
So 2 x = 2 n π + π
= sin 2 x
= sin π
= 0
So the equation has no solution.
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