Difference between revisions of "Trigonometry"
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==See also== | ==See also== | ||
− | * [[ | + | * [[Trigonometric identities]] |
* [[Trigonometric substitution]] | * [[Trigonometric substitution]] | ||
* [[Geometry]] | * [[Geometry]] |
Revision as of 20:07, 23 June 2006
Trigonometry seeks to find the lengths of a triangle's sides, given 2 angles and a side. Trigonometry is closely related to analytic geometry.
Contents
[hide]Basic definitions
Usually we call an angle , read "theta", but
is just a variable. We could just as well call it
.
image
Sine
The sine of an angle , abbreviated
, is the ratio between the base and the hypotenuse of a triangle with the uppermost angle equal to theta. For instance, in the 30-60-90 triangle above,
.
Cosine
The cosine of an angle , abbreviated
, is the ratio between the altitude and the hypotenuse of a triangle with the uppermost angle equal to theta. For instance, in the 30-60-90 triangle above,
.
Tangent
The tangent of an angle , abbreviated
, is the ratio between the base and altitude of a triangle with the uppermost angle equal to theta. For instance, in the 30-60-90 triangle above,
. (Note that
.)