The Inverse Trig Functions!

*To solve for theta, the steps are different than an algebra equation.

1. Isolate the trig function.
2. Take the inverse of the trig function.
sin^-1 cos^-1
arc sin arc cos

*An inverse finds an angle.

3. Use the trig chart or a calculator to find answer (only use positive value).
4. Use quadrants to find the right angle.
--Positive or negative with trig functions.

*There are at least 2 answers for each inverse.

To Move Quadrants:
*Q1-->Q2=Make number negative, then add 180.
*Q1-->Q3=Add 180
*Q1-->Q4=Make number negative, then add 360.

Example 1:
sin^-1(.9)=64.158degrees
*64.158 is in the first quadrant and sin is positive in the first and second quadrants, so you make 64.158 negative and add 180, which gives you 115.842degrees.
-64.158+180=115.842degrees
*Your two answers are 64.158degrees and 115.842degrees, but you have to change both to degrees, minutes, and seconds.
.158(60)=9.48
.48(60)=28
=64degrees9'28''
.842(60)=50.52
.52(60)=31
=115degrees50'31''

Example 2:
cos^-1(3/4)=41.410degrees
*41.410 is in the first quadrant, and cos is positive in the first and fourth quadrants, so you make 41.410 negative and add 360, which gives you 318.59degrees.
-41.410+360=318.59degrees
*Your two answers are 41.410degrees and 318.59degrees, but you have to change both to degrees, minutes, and seconds.
.410(60)=24.6
.6(60)=36
=41degrees24'36''
.59(60)=35.4
.4(60)=24
=318degrees35'24''