What is the period of Y sin3x?
What is the period of Y sin3x?
Answer Expert Verified If the constant, c>1 then the period is stretched, if c<1 then the period is contracted. So, the period of sin 3x is 2π/3 or 2/3 π.
What is the period of sin 3x 2?
Hence period of sin3x is 2π.
What is the period of sin at?
2π
Why is the period of sin 2 pi?
This function has a period of 2π because the sine wave repeats every 2π units.
What is the period of CSC?
Period and Amplitude of Basic Trig Functions
| A | B |
|---|---|
| Period of y=tan x | π |
| Period of y=cot x | π |
| Period of y=sec x | 2π |
| Period of y=csc x | 2π |
How do you graph sin?
Sine functions are perfect ways of expressing this type of movement, because their graphs are repetitive and they oscillate (like a wave). Because the graph of the sine function is being graphed on the x–y plane, you rewrite this as f(x) = sin x where x is the measure of the angle in radians.
Where does a sine graph start?
Let’s use a cosine function because it starts at the highest or lowest value, while a sine function starts at the middle value. A standard cosine starts at the highest value, and this graph starts at the lowest value, so we need to incorporate a vertical reflection.
What does amplitude do to a graph?
Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.
How does b affect a sine graph?
The change in variable b has affected the frequency of the sine graph and has increased it by the product of the value of b. For b = -2, we get the equation y = sin(-2x), which is overlayed on the graph in comparison to the original y = sin(x) graph.
How do you find B in a sine graph?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
How does period affect a graph?
If a function has a repeating pattern like sine or cosine, it is called a periodic function. The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. So the period of or is . Any part of the graph that shows this pattern over one period is called a cycle.
What is C in a sine function?
The value of variable ‘c’ moves the sine graph to the right or the left. When c > 0, the graph moves to the left. When c < 0, the graph moves to the right. This horizontal movement is called the phase shift.
How do you shift a sine graph to the right?
Sliding a function left or right on a graph By adding or subtracting a number from the angle (variable) in a sine equation, you can move the curve to the left or right of its usual position. A shift, or translation, of 90 degrees can change the sine curve to the cosine curve.
How do you shift a trig graph?
The graph y = sin x may be moved or shifted to the left or to the right. If C is positive, the shift is to the left; if C is negative the shift is to the right. A similar general form can be obtained for the other trigonometric functions. The amplitude is 2, the period is π and the phase shift is π/4 units to the left.