The number of solutions of the equation sin x = cos 2 x in the interval 0 , 10 is ______.

Step-by-step solution

Given, sin x = cos 2 x ⇒ sin x = 1 - sin 2 x ⇒     sin 2 x + sin x - 1 = 0 ⇒   sin x = - 1 ± 5 2 ⇒     sin x = 5 - 1 2 Now plotting the graph we get, ⇒   Now by graph number of solutions in 0 , 10 = 4