Question

prove that equation sin x sin 2x sin 3x = 1 has no solution​

Answer 1

Answer:

Step-by-step explanation:

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.