Question

Find the number of roots of the equation 2x = 3sin(x) in R (real numbers).

a) 1
b) 2
c) 3
d) 4

Answer 1

The number of roots of the equation 2x = 3sin(x) in R (real numbers) is 2.

Step-by-step explanation:

The given equation is 2x = 3sin(x). To find the number of roots of this equation in real numbers, we need to graph the two functions and determine the number of intersection points.

By graphing the functions, we can see that they intersect at two points. Therefore, the answer is (b) 2.