How to solve a simple trig equation

NOTES:

• When solving a trig equation you are first going to want to solve for theta.
• Then you need to get the trig function by itself.
• After you need to take an inverse function.
• An inverse has 2 answers with only SOME exceptions.
• Find where the angle is based on the trig function.
  
• Last you need to determine weather its # is +ve or -ve.
  

STEPS:

1. Take the inverse of the +ve number to find the quadrant 1 angle.
2. When dealing with a quadrant 2 angle make -ve DEGREES and add 180 (degrees).
3. When dealing with a quadrant 3 angle you are just going to want to add 180 (degrees).
4. And when dealing with a quadrant 4 angle make -ve DEGREES and then add 360 (degrees).

EXAMPLE:



Solve for x.

4sin(theta)= -2
sin(theta)= (-1/2)
(theta)= sin^-1(1/2)

Now when you figure that out you put that in the quadrant 1.
you are going to end up with 30 degrees.

Now you need to find what is in quadrant 3 and quadrant 4 because that is where sin is negative.
so you are going to add 180 and you will get 210 degrees in quadrant 3.
then you take (-30) and add that to 360 degrees in quadrant 3.
and you will end up with 330 degrees in quadrant 4.

So (theta)= 210 degrees
330 degrees