Points, Vectors, and Functions Exercises

Answer

• Make a table, using values of t for which we can easily find the sine and cosine:

These outline a quarter of a circle, which is what we find when we connect the dots:

If we replace t with θ, the coordinates (cos θ, sin θ) describe a point on the unit circle.

• If wanted to trace out the entire unit circle, we'd have to go all the way from θ = 0 to θ = 2π.