Difference between revisions of "Sine"

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'''Sine''' is a [[trigonometric function]] describing the [[ratio]] between the opposite side and the [[hypotenuse]] in a [[right triangle]]. As a function it is usually abbreviated ''sin''.
 
'''Sine''' is a [[trigonometric function]] describing the [[ratio]] between the opposite side and the [[hypotenuse]] in a [[right triangle]]. As a function it is usually abbreviated ''sin''.
 
A mathematical identity involving sine is:
 
 
<math>\sin \theta = \cos \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\csc \theta}\,</math>
 
  
 
==Sine Graph==
 
==Sine Graph==
The basic sine graph is as follow:
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The basic sine graph is as follows:
 
{| style="background:none"
 
{| style="background:none"
 
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|}
 
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That would be a full period of the graph - as 2π [[radians]] is equivalent to one circle. The graph continues in that pattern.
 
That would be a full period of the graph - as 2π [[radians]] is equivalent to one circle. The graph continues in that pattern.
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== Relationship to cosine and cosecant ==
 +
A mathematical identity involving sine is:
 +
 +
<math>\sin \theta = \cos \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\csc \theta}\,</math>
 +
  
 
[[Category:Trigonometry]]
 
[[Category:Trigonometry]]
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[[Category:Amateur Radio]]
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[[Category:Radio]]

Revision as of 02:21, December 11, 2014

Sine is a trigonometric function describing the ratio between the opposite side and the hypotenuse in a right triangle. As a function it is usually abbreviated sin.

Sine Graph

The basic sine graph is as follows:

x values y values
0 0
π/2 1
π 0
3π/2 -1
0
Sine-pi.jpg

That would be a full period of the graph - as 2π radians is equivalent to one circle. The graph continues in that pattern.


Relationship to cosine and cosecant

A mathematical identity involving sine is: