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Find a Business or PersonAlgebra Functions
Cosine: PropertiesThe cosine function has a number of properties that result from it being periodic and even. Most of these should not be memorized by the reader; yet, the reader should be able to instantly derive them from an understanding of the function's characteristics. |
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Difference of squares(a+b) 2 = a 2 + 2ab + b 2 |
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graph of cosine
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![[graph of cosine]](http://freezone.ssan.com/graphics/math/algebra/g-cos.gif)
Powers - Logarithmsx a x b = x (a + b) |
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Sine graph
![[graph of sine]](http://freezone.ssan.com/graphics/math/algebra/g-sin.gif) |
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Sine: DefinitionGiven any angle q (0 £ q £ 90°), we can find the sine of that angle by constructing a right triangle with one vertex of angle q. The sine is equal to the length of the side opposite to q, divided by the length of the triangle's hypotenuse. In this way, we can find the sine of any q in the range 0 £ q £ 90°. |
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Sine: Derivative(sin(x)) = cos(x) |
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Sine: Expansions(This can be derived from Taylor's Theorem.) |
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