Graphs of sin x and cos x, Mathematics

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Q. Graphs of Sin x and Cos x ?

Ans.

The sine and cosine functions are related to the path that an object might take around a circle.

Suppose a dolphin was swimming over the waves in a circular pattern. His path could help us draw a sine or a cosine graph!

The dolphin's height, or y-coordinate will trace out the sine curve.

2027_Graphs of Sin x and Cos x.gif

If you were to watch the dolphin swim around and around again, here is a portion of the graph he would generate. Please note that the variable "" has been renamed as "x" in the graph.

927_Graphs of Sin x and Cos x1.gif

The vertical distance of the dolphin, or x-coordinate, will trace out the cosine curve.

1898_Graphs of Sin x and Cos x2.gif


If you were to watch the dolphin swim around and around again, this is a portion of the graph he would generate. Note, that the variable "" has once again been replaced by the variable "x" in this graph.

1974_Graphs of Sin x and Cos x3.gif

The graphs show values of sin(x) and cos(x) for x between -2p and 2p . Can you guess what the graphs look like for x between 2p and 4p ?


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