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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.
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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.
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.
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
What is the answer for what is the title of this picture trig graph?
The title of a trigonometric graph typically reflects the specific function it represents, such as "Sine Wave," "Cosine Wave," or "Tangent Function." If the graph depicts a sine function, for instance, it may be titled "y = sin(x)." The title helps to identify the type of periodic function and its characteristics, such as amplitude and frequency.
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 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.
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.
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 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 cosine of 3?
Undefined!!!! Can't answer it! All sine and cosine values are between -1 and 1 !!!
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
Why it is named sinusoidal wave or sine wave in ac?
It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).
If two integers have the same sign what is the sine of their sum?
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
