When does sin x = 0?

Solution:

We will be using the concept of the periodic function of sine that oscillates at regular intervals.

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.

Hence, sin x = 0 is for x = nπ ( n is integer e.g., -3,-2,-1,0,1,2,3,-----) where x is in radian.

When does sin x = 0?

Summary:

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.