Finding Theta

Solving for theta is differevt from solving for a variable in algebra. The same concepts are used in some ways. There are steps to solving for theta
1.Isolate the trig function
2.Take the inverse of the trig function. This means find the angle.
ex: cos-1 sin-1
arc cos arc cos
*an increase finds an angle
3.Use the trig chart or calculator to find the answer (only use the value)
4.Use the 4 quadrants to find the right angle weather its a + number or - number with any trig function given.
Important
*there are atleast 2 answers for each inverse or equation
*you must know steps to move between quadrants
*sometimes you will have to use unit circle

Steps to move between quadrants:
Q1 - Q2 make # -and add 180
Q1- Q3 add 180
Q1 - Q4 mkae # - and add 360

Ex1
Cos -1 (1/2)
The value of cos (1/2) on trig chart is 60
Since the (1/2) is positive the number stays positive
Now you must find the other positive answer. Cos is also positive in quadrant 4 so you must move 60 to quadrant 4.
-60 + 360 = 300
Your two answers are (60, 300)