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Home > PC > Chapter 4 > Lesson 4.1.1 > Problem 4-7

4-7.
  1. Sketch each of the following angles onto a unit circle then find the coordinates of the angle. Homework Help ✎

The reference angle is π/3. What are the cosine and sine of π/3? When writing your final answer, remember that this angle is in the fourth quadrant.

1. Draw a unit circle.
2. Divide the top and bottom halves into quarters.
3. Put a mark on the unit circle at the 5 quarters going clockwise from (1,0).
4. Make a triangle with the x-axis.
5. Label the lengths of the sides.
6. Check for the correct signs.
7. The coordinates are (x, y).

What are the side lengths? Use the Pythogorean Theorem.