Trigonometry
began as the computational component of geometry. For instance, one statement
of plane geometry states that a triangle is determined by a side and two
angles. In other words, given one side of a triangle and two angles in the
triangle, then the other two sides and the remaining angle are determined.
Trigonometry includes the methods for computing those other two sides. The
remaining angle is easy to find since the sum of the three angles equals 180
degrees (usually written 180°).
If there is
anything that distinguishes trigonometry from the rest of geometry, it is that
trig depends on angle measurement and quantities determined by the measure of
an angle. Of course, all of geometry depends on treating angles as quantities,
but in the rest of geometry, angles aren’t measured, they’re just compared or
added or subtracted.
Trigonometric functions such as
sine, cosine, and tangent are used in computations in trigonometry. These
functions relate measurements of angles to measurements of associated straight
lines.
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