Arc Trigonometry
Introduction
Arc trigonometry is the inverse of trigonometry.
Arc trigonometry is denoted by being raised to a power of negative 1.
Arc
Because it is in the inverse of a trig function it can be said as sine inverse.
An example of an arcsin function:
so 
so 
Because arc trig is the inverse of trig functions, their graphs are the trig functions reflected over the line y = x. So 
appears as 
reflected over the line y = x.
Note the information about the following Arc Trig functions:
Domain: 
Range: 
Note the range is confined to values of the domain of 
where is 1:1 Otherwise, the result would not pass the vertical line test and would not be a function, 
would have infinite answers. 
and so on.
Domain:
Range: 
Domain: All real numbers
Range: 
Domain: All real numbers
Range: 
For example:
1.1 Find
1.2 Find 
1.3 Find 
1.4 Find 
1.5 Find 
For this problem draw a 5, 12, 13 right triangle. If 
then 
is across from the 5
the described angle
1.6 Find 
Draw a right triangle with the hypotenuse = 1, the opposite leg = x and the adjacent leg = 
= the described angle
