8-1

This past week, we learned how to solve for the angle theta. To me, this is the easiest of all the concepts we have learned thus far. Solving for angle theta is pretty simple to solve.

To solve for the angle theta you have to take the inverse of the trig function. The angle theta can be used by using the trigonometric identities. An inverse has two possible answers.

-To get the quadrant one angle, you take the inverse of the the positive or negative angle.
-To get the angle in quadrant two, make the number negative, and add 180 degrees.
-For quadrant three, add 180 degrees to the angle
-For quadrant four, make the number negative, and 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)