inverses

Steps to solving:

First you have to isolate the trig function.

Next,you take the trig functions inverse. (-1)

Inverses are used to find angles.

You can either use your trig chart or calculator to find the answer.

The quadrants will help you determine whether if the angle is negative or positive.





1.) solve for theta(q)

6cos q + 9 = 7

subtract 9 from both sides

so then you have 2cos q = -2

divide both sides by 2

cos q = -2/6

q=cos^-1 (-2/6)= 109.471(since cos is negative in quadrant 3 and not 2 you cant use this.)

to move to quadrant two from one you have to make negative and add 180 which =70.529

to get your second answer take 70.529 and add 180 to get your third quadrant answer, which = 250.529

q=70.529 and 250.529,you then have to convert it to degrees,minutes,and seconds.

.529*60 = 31.74

.74 * 60 = 44.4

= 70 degrees 31 minutes and 44 seconds

.529* 60 = 31.74

.74 * 60 = 44.4

= 250 degrees 31 minutes and 44 seconds

q = 70 degrees 31 minutes and 44 seconds and 250 degrees 31 minutes and 44 seconds