CCSS Honors 9.3 Example 1

Without using a calculator, evaluate .
  1. Determine the quadrant that contains the terminal side of the angle.
  2. Sketch the location of the coterminal angle on a unit circle.
  3. Using your sketch from step 2, determine the reference angle that applies to this situation.
  4. Evaluate the sine of the reference angle, using your knowledge of special angles.
  5. Use the quadrant information from step 2 to modify the sign of your result as necessary.