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trigonometry
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trigonometric functions Egyptian seked triangle inscribed in a circle constructing a table of chords
How did Ptolemy explain retrograde motion?
general angle addition of angles angle in standard position Standard lettering of a triangle graphs of some trigonometric functions
For Students
trigonometry summary
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Equations written on blackboard
Numbers and Mathematics
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How did Ptolemy explain retrograde motion?
Ptolemy's theory of the solar system.
Video: Encyclopædia Britannica, Inc.

Images

trigonometric functions
Based on the definitions, various simple relationships exist among the functions....
Encyclopædia Britannica, Inc.
Egyptian seked
The Egyptians defined the seked as the ratio of the run to the rise, which...
Encyclopædia Britannica, Inc.
triangle inscribed in a circle
This figure illustrates the relationship between a central angle θ (an angle formed...
Encyclopædia Britannica, Inc.
constructing a table of chords
By labeling the central angle A, the radii r, and the chord c...
Encyclopædia Britannica, Inc.
general angle
This figure shows a positive general angle A, as well as a negative general...
Encyclopædia Britannica, Inc.
addition of angles
The figure indicates how to add a positive or negative angle (B) to a positive...
Encyclopædia Britannica, Inc.
angle in standard position
The figure shows an angle A in standard position, that is, with initial...
Encyclopædia Britannica, Inc.
Standard lettering of a triangle
In addition to the angles (A, B, C) and sides (a,...
Encyclopædia Britannica, Inc.
graphs of some trigonometric functions
Note that each of these functions is periodic. Thus, the sine and cosine functions...
Encyclopædia Britannica, Inc.
Cartesian and polar coordinates
The point labeled P in the figure resides in the x-y plane....
Encyclopædia Britannica, Inc.
rotation of axes
Rotating the coordinate axes through an angle ϕ changes the coordinates of a point...
Encyclopædia Britannica, Inc.
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