Angle Measure

  1. What is the principal angle coterminal to 1234°? What is the principal angle coterminal to -42°?
  2. Write down three different angles coterminal to 321°, at least one of them negative.
  3. Without referring to technology, for each of the following degree measurements of an angle, convert it to radian measure.
    30°
    45°
    60°
    90°
    120°
    135°
    150°
    180°
    180°
    210°
    225°
    240°
    270°
    300°
    315°
    330°
    360°
  4. Without referring to technology, for each of the following radian measurements of an angle, convert it to degree measure.
    \(\displaystyle \frac{\pi}{4}\)
    \(\displaystyle \frac{7\pi}{6}\)
    \(\displaystyle \frac{5\pi}{4}\)
    \(\displaystyle \frac{3\pi}{2}\)
    \(\displaystyle \frac{11\pi}{6}\)
    \(\displaystyle \frac{7\pi}{4}\)
    \(\displaystyle \frac{2\pi}{3}\)
    \(\displaystyle \frac{\pi}{2}\)
    \(\displaystyle \frac{3\pi}{4}\)
    \(\displaystyle \pi\)
    \(\displaystyle \frac{4\pi}{3}\)
    \(\displaystyle \frac{\pi}{6}\)
    \(\displaystyle 2\pi\)
    \(\displaystyle \frac{5\pi}{6}\)
    \(\displaystyle \frac{\pi}{3}\)
    \(\displaystyle \frac{5\pi}{3}\)
  5. What is the degree measure of an angle that measures 2 radians? How do you express this degree measure in degrees/minutes/seconds?
  6. What is the principal angle corresponding to an angle that measures 129 radians? What is the degree measure of this principal angle? How do you express its degree measure in degrees/minutes/seconds?
  7. For each of the following degree measurements of an angle, use technology to convert it to radian measure.
    106°
    98.6°
    34.5678°
    17°17′17″
    76°54′32″