Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 n. The branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, particularly the trigonometric functions.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, particularly the trigonometric functions.
from the GNU version of the Collaborative International Dictionary of English
 n. That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.
 n. A treatise in this science.
from The Century Dictionary and Cyclopedia
 n. The mathematical doctrine of the calculation of the angles, sides, and areas of triangles, plane and spherical, together with that of other quantities intimately related to those. Trigonometry embraces also goniometry, or the elementary theory of singly periodic functions.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. the mathematics of triangles and trigonometric functions
Etymologies
Examples

The term trigonometry was not used until the close of the sixteenth century.

It makes me wonder if a kid who had no interest in trigonometry or symbolism in literature could grow up without ever learning those things and be okay.

You'd have to have advanced degrees in trigonometry and geometry to scale the heights of that number.
Mike Alvear: What If He Doesn't Look Anything Like His Pictures?

Every edition released by the publisher has literally no new information (I can't imagine very many discoveries in trigonometry make their way into textbooks each year), but all new homework assignments.

I always figured that getting a C in trigonometry was better than skating through general math.

While it's true that a lot of special relativity can be handled with basic algebra, the geometric interpretation depends on a good understanding of hyperbolic trigonometry, which is reasonably advanced math.

Complex subjects such as trigonometry or foreign language shouldn't wait for puberty to be introduced.

He profusely thanked Republicans and Democrats alike, and answered every question in the same condescending drone  even as he told the world he didn't understand "trigonometry" and "calculus" and complicated mathematical things like that.

One lady, it has been declared, is not unknown in society, who has held forth to a surprised circle of her acquaintances on the operation of "trigonometry" (tracheotomy)  who, when she imparted a bit of scandal would add, "but that, you know, as the lawyers say, is _inter alias_"  and who wished that people would always say what they meant, and not talk paregorically (metaphorically).

Just the word "trigonometry" gives us heart palpitations.
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