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What is the difference between a sine graph and a cosine graph?
The sine graph and the cosine graph are identical in shape, with the cosine graph shifted to the left by pi / 2, i.e. the sine starts at (x=0,y=0) and proceeds up with an initial slope of one, and the cosine starts at (x=0,y=1), and proceeds down with an initial slope of zero.
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.
Why are sine and cosine functions called harmonic?
Sinusoid shape of the sine and cosine functions appear as oscillations. If an object is moving in a straight line and its position (function of time) can be described as sinusoid then it is referred to as a simple harmonic motion.
How do you use the Pythagoras theorem in circle?
In a circle that has a radius of one you use Pythagorean theorem to derive the sine, cosine and tangent formulas. Draw a circle around the origin on graph paper. The sine is the line segment from the point where the side of the angle intersects down to the x-axis. etc.
Which function's graph has a period of 2?
There are an infinite number. The simplest is a sinusoid. The sine function has period 2π, so you compress it by a factor of π: f(x) = sin (πx).
What is the graph of a sine function called?
A sine graph!
What is the difference between a sine graph and a cosine graph?
The sine graph and the cosine graph are identical in shape, with the cosine graph shifted to the left by pi / 2, i.e. the sine starts at (x=0,y=0) and proceeds up with an initial slope of one, and the cosine starts at (x=0,y=1), and proceeds down with an initial slope of zero.
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
Definition of sine wave?
A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
Graph of sin of modulus of x?
It is like the sine graph except that, instead of going below the x-axis between π and 2π radians (180 and 360 degrees), it is reflected in the x-axis. An d so on: every time the sine graph would have gone below the x-axis, this one has the reflected shape above the axis.
Why does the sine graph always start at 0?
sin(0) = 0 but, in general, the sine graph need not start at 0. For example, sin(x + 2) does not start at 0.
What is the graph of sine function is periodic at?
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
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 yamapuri?
where our soul go. it depend on sine.
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 sinusodial alternating quantity?
It's any quantity that changes in a regular and repeating fashion, and when you draw a graph of its variation with time, or view it on an oscilloscope or computer screen, the graph has the same shape as the trigonometric 'sine' function of angles. You'd recognize it immediately if you saw it.
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).
