Exam 2 Review Problems

First, make sure you can do all the problems from:

In addition, be able to do the following problems:

  1. Find \mathrm{sin}(\theta) if \mathrm{cos}(\theta) = -1.
  2. Find \mathrm{csc}(\theta) if \mathrm{tan}(\theta) = 1 and a point on the terminal side of \theta lands in Quandrant III.
  3. Find exact values of sin, cos, tan, sec, csc, and cot of the following angles:
    • 90^\circ
    • 120^\circ
    • 135^\circ
    • 150^\circ
    • 180^\circ
    • 210^\circ
    • 225^\circ
    • 270^\circ
    • 330^\circ
    • 750^\circ
  4. Given the following angles, draw them in standard position, plot a point on their terminal sides and find sin, cos, and tan:
    • 240^\circ
    • 150^\circ
  5. If the following points are on the terminal side of an angle \theta drawn in standard position, draw the angles and find the values of sin, cos, tan, sec, csc, and cot:
    • P = (-1, -2)
    • P = (2, 1)
    • P = (-3, 4)
    • P = (5, -13)