Trigonometry Tables
Below are the three basic trigonometry tables that when applied correctly by a knowledgeable user are extensively useful.

Tangent Trigonometry Table

Sin Trigonometry Table


Cos Trigonometry Table

Trigonometry picture
In any right angled triangle, for any angle:

the length of the opposite side = The sin of the angle
the length of the hypotenuse

the length of the adjacent side = The cos of the angle
the length of the hypotenuse

the length of the opposite side = The tan of the angle
the length of the adjacent side

The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. The opposite side is opposite the angle in question.


sin = o/h   cos = a/h   tan = o/a
Often remembered by: soh cah toa


Graphing sin, cos and tan

Graphs of Sin and Cos

Graph Tan

Notes:

The graphs of sin and cos are have a repeating period of 360°. The graphs repeat themselves every 360°. The graph of cos is the same as the graph of sin shifted 90° to the right/ left. For this reason, sin(x) = cos(90 - x) and cos(x) = sin(90 - x). Cos is an even function. It is symmetrical in the y-axis. Sin is an odd function.

The graph of tan has asymptotes (line which gets very close to, but does not touch). The red lines are asymptotes.

These graphs obey the usual laws of graph transformations.





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