I will review 8.1 because this came easier to me than the rest of the things we've learned.
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:
step 1:
take the inverse of tve # to find the quadrant I angle.
to find quadrant II, ve must be positive and add 180.
to find quadrant III, add 180
to find quadrant IV, ve must be negative and then add 360
Examples:
Directions: 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 square root of 3/2 is equal to 30 degrees)
theta=30
cos is only positive in the first and second quadrant so we already have quad I so now we are looking for quad IV.
-30 + 360 = 330
theta= 330
and that's all there is to it
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