Inverses of Trig Functions

In this lesson, you use both the unit circle and the six other trig functions.

Before you begin, make sure our calculator is in the correct mode so you get the correct answer.

When you work these problems you must make sure that you get at least a minimum of two answers. Some problems may have more than two answers.

In order to move from quadrant to quadrant:

Quadrant one to Quadrant two: make the number negative and add 180 degrees
Quadrant one to Quadrant three: add 180
Quadrant one to Quadrant four: make then number negative and add 360 degrees

Example 1- Sin^-1(50)=0.766
Sin is positive in only the first quadrant and the second quadrant.

In order to move from quadrant one to quadrant two:
-0.766+180=179.234

Now convert your answers into degrees, minutes, and seconds:
0.766*60=45.96
.96*60=57.6

.234*60=114.04
.04*60=2.4

Your answers are:

0 degrees, 45 minutes, 57 seconds
179 degrees, 14 minutes, and 2 seconds