If 0 ≤ x < π 2 , then the number of values of x for which sin x - sin 2 x + sin 3 x = 0 , is:

Question

If 0 &#8804; x &#60; &#960; 2 , then the number of values of x for which sin x - sin 2 x + sin 3 x = 0 , is:

Aicharya · Accepted Answer

sin x - sin 2 x + sin 3 x = 0 &#8658; sin x + sin 3 x - sin 2 x = 0 &#8658; 2 sin 2 &#160; x &#160; . cos x - sin 2 x = 0 &#8658; sin 2 x = 0 or cos x = 1 2 &#8658; 2 x = 0 or x = &#960; 3 &#8658; x = 0 or &#160; x = &#960; 3 &#8756; Number of solutions = 2

If 0 &#8804; x &#60; &#960; 2 , then the number of values of x for which sin x - sin 2 x + sin 3 x = 0 , is:

Solution

If 0 ≤ x < π 2 , then the number of values of x for which sin x - sin 2 x + sin 3 x = 0 , is: