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# Points, Vectors, and Functions

# Bounds on Theta Exercises

### Example 1

Find bounds on θ that trace out the specified piece of function only once.

- PICTURE: graph r = sin(3θ) for \frac{π}{3}≤ θ ≤ \frac{2π}{3}. Label graph
*r*= sin(3θ) but don't say what the bounds are.

### Example 2

Find bounds on θ that trace out the specified piece of function only once.

- PICTURE: graph r = sin(\frac{θ}{4}) for 0 ≤ θ ≤ 2π. Label function, not bounds.

### Example 3

Find bounds on θ that trace out the specified piece of function only once.

- PICTURE: graph r = cos(θ + \frac{π}{6}) for 0 ≤ θ ≤ \frac{π}{3}. Label func.