I'm reviewing 8.1 because it was easy.
When solving for theta, you get the trig function by itself and then take the inverse.
Ex: cos(theta)= 36
(theta)=cos-1(36)
Inverses have 2 answers with a few exceptions. Find where the angle is based on the trig function and if the number is tve or -ve.
Steps:
Take the inverse of tve # to find the quadrant one angle.
To find quad 2, ve must be negative and add 180.
To find quad 3, add 180
To find qaud 4, make it negative and add 360.
Example:
Solve for 0 degrees is less than or equal to theta less than 360 degrees.
cos(theta)= square root of 3/2
(on the trig chart)
(Theta)=30
cos is only positive in the first and fourth quadrant, we already know the first so now we need the fourth.
-30 + 360 = 330
(theta)=330
Final answer is (theta)= 30 and 330
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