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Question

Mathematics Question on Inverse Trigonometric Functions

Soln of sinx+sin5x=sin3xsinx + sin 5x= sin3x in (0,x2)(0,\frac{x}{2}) are?

Answer

The solutions of the equation sin(x)+sin(5x)=sin(3x)sin(x) + sin(5x) = sin(3x) in the interval (0,x2)(0, \frac{x}{2}) are x=0x = 0 and x=π3x = \frac{\pi}{3}.