8-1

In Section 8-1 to solve for theta you get the trig function by itself and then take an inverse.
An inverse has 2 answers with some exceptions; find where the angle is based on trig function and if number +ve or –ve.

Steps: take the inverse of +ve number to find the Q1 angle.

To get to
Q2 make –ve degree add 180
Q3 add 180 degrees
Q4 make +ve add 360 degrees

Example:

3 cosine(theta)= 1

1. Subtract 3 from one, which will equal -1/3
2. Then do the cosine inverse(1/3)=
70.529
3. We are looking for the positive cosine, which is x.
4. 70.529 degrees is in the first quadrant, so it is positive.
5. Since it is in the first and fourth quadrant, for fourth quadrant, we will do 360-70.529, and it will equate to 289.471 degrees

Answers: 70.529(degrees), 289.471(degrees).

If u know everything in 8-1 and the formulas u will do fine and it will be a breeze.