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Increase the amplitude and the frequency

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13y ago

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What is period as it pertains to the graph of sine and cosine?

Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).


How can you tell if a graph is a sine function or a cosine function?

sine graph will be formed at origine of graph and cosine graph is find on y-axise


What is the similarities between a sine graph and a cosine graph?

Both sine and cosine graphs are periodic functions with a periodicity of (2\pi), meaning they repeat their values every (2\pi) radians. They both have an amplitude of 1, oscillating between -1 and 1. Additionally, the sine graph is a horizontal shift of the cosine graph; specifically, the cosine graph can be expressed as the sine graph shifted to the left by (\frac{\pi}{2}) radians. Both graphs exhibit similar shapes, featuring smooth, continuous waves.


What are the keypoints for the graph of cosine?

For a general cosine graph, they would be the maximum and minimum values, and the values of the independent variable at which these are attained.Note that the graph of y = cos(x)+2 is never equal to zero, so there may not be any roots.


Does cosine create a line on a graph?

yes cos(x) makes a wave that starts on 0,1 you will have to graph it


The length of one complete repetition of the cycle is called the what of the graph?

The length of one complete repetition of the cycle in a graph is called the period. In the context of periodic functions, the period is the distance along the x-axis after which the function's values repeat. For example, in trigonometric functions like sine and cosine, the period is typically (2\pi).


What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?

The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.


How does the graph of the cosine function differ from a graph of a sine function?

the graph of cos(x)=1 when x=0the graph of sin(x)=0 when x=0.But that only tells part of the story. The two graphs are out of sync by pi/2 radians (or 90°; also referred to as 1/4 wavelength or 1/4 cycle). One cycle is 2*pi radians (the distance for the graph to get back where it started and repeat itself.The cosine graph is 'ahead' (leads) of the sine graph by 1/4 cycle. Or you can say that the sine graph lags the cosine graph by 1/4 cycle.


What is the difference between a sine graph and a cosine graph?

Oh, dude, it's like asking the difference between a hot dog and a hamburger. So, like, the main difference is just a phase shift of 90 degrees. Sine starts at zero, cos starts at one, but they're basically like two sides of the same math coin.


How do you graph a cosine curve?

Here is a video showing more complex graphing of a cosine curve. He has many great videos that you should check out if you need math help.


What is a cosine function?

A cosine function is a mathematical function defined as the ratio of the adjacent side to the hypotenuse in a right triangle, typically denoted as ( \cos(x) ), where ( x ) is the angle in radians. It is a periodic function with a period of ( 2\pi ) that oscillates between -1 and 1. The graph of the cosine function is a wave-like curve that starts at 1 when ( x = 0 ) and decreases to -1, then returns to 1. Cosine functions are widely used in trigonometry, physics, engineering, and signal processing.


Why does cosine graph always start at 1?

Because it is the 'Complimentary' Sine curve. , hence the name 'CoSine'.