• Angles degrees and radians
• Most computers do calculations in radians
• Angle quadrants,
• 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,
• 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°.
• 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,