When does sin x = 0?
We will be using the concept of the periodic function of sine that oscillates at regular intervals.
Answer: sin x = 0 is for x = nπ where n is an integer e.g., -3,-2,-1,0,1,2,3,......... and x is in radian.
Let's solve this step by step.
We know, sin x is known as a periodic function that oscillates at regular intervals.
Sine function crosses the x-axis at x = 0,π, and 2π in the domain [0,2π], and continues to cross the x-axis at every integral multiple of π.
Have a look at the graph of sin x for a better understanding.