How do I find the period of a function?
The period is defined as the length of one wave of the function. In this case, one full wave is 180 degrees or radians. You can figure this out without looking at a graph by dividing with the frequency, which in this case, is 2.
What is the period of sin BX?
Definition of Period of Sine and Cosine Functions Let b be a positive real number. The period of y = a sin bx and y = a cos bx is 2 /b . Note that if 0 < b < 1, the period of y = a sin bx is greater than 2 and represents a horizontal stretching of the graph of y = a sin x.
What is amplitude of Y 3sin2x?
The amplitude is the peak height subtract the trough height divided by 2 . It can also be described as the height from the centre line (of the graph) to the peak (or trough).
What is period of cosine?
Periodic functions repeat after a given value. The smallest such value is the period. The basic sine and cosine functions have a period of 2π.
What does it mean to be menstruating?
Menstruation is the monthly shedding of the lining of a woman’s uterus (more commonly known as the womb). Menstruation is also known by the terms menses, menstrual period, cycle or period.
What is the fundamental period?
Explanation: The first time interval of a periodic signal after which it repeats itself is called a fundamental period. It should be noted that the fundamental period is the first positive value of frequency for which the signal repeats itself.
What is the period for cosine?
2π
Periodic functions repeat after a given value. The smallest such value is the period. The basic sine and cosine functions have a period of 2π.
How does b affect the period?
The value of b is , so the graph has a period of . This has the effect of shrinking the graph of horizontally by a factor of , causing it to complete one complete cycle on the interval [0, 2].
What is the frequency of Y 3sin2x?
The frequency is the reciprocal of the period, so is 1/π.
What is the period for tan?
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 to calculate the period of 3sin ( 2x )?
Find the amplitude |a| | a |. Find the period of 3sin(2x) 3 sin ( 2 x). Tap for more steps… The period of the function can be calculated using 2 π | b | 2 π | b |. Replace b b with 2 2 in the formula for period.
Which is the period of the function sin2x?
sin2x= 21−cos2x above function is of the form A+Bf (x) whose period is same as period of f (x) ∴ Period of sin2x is 22π = π Hence, option B.
What does y = 3sin ( 2x ) tell us?
In the case of y = 3sin (2x) both are zero, so the graph isn’t translated up or to the side. A is the amplitude, so A = 3 tells us that the graph is going to fluctuate between 3 and −3. Lastly, B is the frequency. B = 2 tells us that there will be 2 full waves between 0 and 2π. A more useful number would be the period, p.
How do you graph y = 3sin2x Socratically?
C and D tell us the horizontal and vertical shift of the function. In the case of y = 3sin(2x) both are zero, so the graph isn’t translated up or to the side. A is the amplitude, so A = 3 tells us that the graph is going to fluctuate between 3 and −3. Lastly, B is the frequency. B = 2 tells us that there will be 2 full waves between 0 and 2π.