For problems #1-10 convert from either radians to degrees or degrees to radians.
1) \(120 ^{\circ}\)
2) \(-135^{\circ}\)
3) \(\Large\frac{11\pi}{8}\)
4) \(\Large\frac{5\pi}{18}\)
5) \(-\Large\frac{3\pi}{2}\)
6) \(5400^{\circ}\)
7) \(-\Large\frac{7\pi}{9}\)
8) \(\Large\frac{8\pi}{3}\)
9) \(45^{\circ}\)
10) \(-\Large\frac{\pi}{3}\)
Review
11) Condense \(2 \ln x - 4 \ln y + \ln z\).
12) If you invest \(\$400\) into a savings account that earns an annual interest rate of \(2.5\%\) compounded daily, how much money will you have in \(6\) years?
13) Give an example of an infinite geometric series that diverges.
14) What are the x and y-intercepts of \(y=\log_{2} x\)?
15) If \(\sin \theta = \Large\frac{\sqrt{2}}{2}\) and \(\theta\) has a terminal side in quadrant I, what is the measure of \(\theta\) in degrees?
Solution Bank
1) \(120 ^{\circ}\)
2) \(-135^{\circ}\)
3) \(\Large\frac{11\pi}{8}\)
4) \(\Large\frac{5\pi}{18}\)
5) \(-\Large\frac{3\pi}{2}\)
6) \(5400^{\circ}\)
7) \(-\Large\frac{7\pi}{9}\)
8) \(\Large\frac{8\pi}{3}\)
9) \(45^{\circ}\)
10) \(-\Large\frac{\pi}{3}\)
Review
11) Condense \(2 \ln x - 4 \ln y + \ln z\).
12) If you invest \(\$400\) into a savings account that earns an annual interest rate of \(2.5\%\) compounded daily, how much money will you have in \(6\) years?
13) Give an example of an infinite geometric series that diverges.
14) What are the x and y-intercepts of \(y=\log_{2} x\)?
15) If \(\sin \theta = \Large\frac{\sqrt{2}}{2}\) and \(\theta\) has a terminal side in quadrant I, what is the measure of \(\theta\) in degrees?
Solution Bank