4.1 Introduction


• Angles degrees and radians


• Most computers do calculations in radians


• Angle quadrants,



4.1.1 Functions


• The basic trigonometry functions are,


• Graphs of these functions are given below,













4.1.2 Inverse Functions


• Inverse Functions



• Note: trig calculations can take a while and should be minimized or avoided in programs.


• Scilab example,


4.1.3 Triangles



• NOTE: Keep in mind when finding these trig values, that any value that does not lie in the right hand quadrants of cartesian space, may need additions of ±90° or ±180°.





4.1.4 Relationships


• Now a group of trigonometric relationships will be given. These are often best used when attempting to manipulate equations.



• Scilab for trig identities,


• These can also be related to complex exponents,




4.1.5 Hyperbolic Functions


• The basic definitions are given below,



• some of the basic relationships are,



• Some of the more advanced relationships are,



• Some of the relationships between the hyperbolic, and normal trigonometry functions are,



4.1.6 Special Relationships


• The Small Angle Approximation


4.1.7 Planes, Lines, etc.


• The most fundamental mathematical geometry is a line. The basic relationships are given below,



• If we assume a line is between two points in space, and that at one end we have a local reference frame, there are some basic relationships that can be derived.



• The relationships for a plane are,