Difference between revisions of "Sine"
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(fixing to follow the pattern of the cosine page, which is particularly well laid out.) |
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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''. | ||
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==Sine Graph== | ==Sine Graph== | ||
| − | The basic sine graph is as | + | The basic sine graph is as follows: |
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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: | ||
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| + | <math>\sin \theta = \cos \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\csc \theta}\,</math> | ||
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[[Category:Trigonometry]] | [[Category:Trigonometry]] | ||
Revision as of 13:55, December 8, 2008
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:
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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.
Relationship to cosine and cosecant
A mathematical identity involving sine is:
