The function y= sin 3x with the interval 0 < x < 2pi has how many cycles in 2pi ? a. 6 b. 1 c. 3 d. 1.5 and explain!

C is correct. 3 cycles will complete in 0 to 2π

Step-by-step explanation:

We are given function y=sin 3x with interval

As we know the period of y=sin x is 2π

It means in 0 to 2π sin x complete one cycle.

But here we have y=sin(3x) So, period of this function should be different.

Here coefficient of x is 3.

So, In interval 0 to 2π. Total number of cycles would be 3.

Thus, 3 cycles will complete in 0 to 2π

the correct answer is the second option

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers