What is the period of sin ax?

We know that the fundamental period of sin(ax) is p= 2π/a and the fundamental period of cos(bx) is q=2π/b.

What is the period of the graph of the equation y a sin BX?

2 /b
The period of y = a sin bx and y = a cos bx is 2 /b .

What is the period of Cos Ax B?

The period of a periodic function is the interval of x-values on which the cycle of the graph that’s repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.

What is the period in math?

Periods are groups of three digits separated by commas when writing numbers in standard form. This is particularly helpful for larger numbers, which can be difficult to read if there is no separation.

Why is the period 2pi B?

If b is equal to 1, then it takes 2pi to complete a period. If b is equal to 2, then it takes only pi to complete a period. If b is equal to 3 we notice that there are 9 complete waves in a distance along the x-axis of 6pi, thus the period is 6pi/9 = 2pi/3.

How do you graph Ya sin BX?

The graph of y equal sin bx which is y = a sin bx where ‘a’ is the amplitude and ‘b’ affects the period of the graph. The period is the distance that it takes for the sine curve to begin repeating again. As the value of ‘b’ increases the period decreases. So the sine curve cut the x-axis at (π/3,0), (2π/3),(π,0),…

What is period formula?

… each complete oscillation, called the period, is constant. The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.

How do you find the period of a sine function?

We have a really easy way to determine the period of the sine function. If we have a sine function of the form f(x) = Asin(Bx + C) + D, then the period of the function is 2π / |B|.

https://www.youtube.com/watch?v=BpwWmrCr664