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# Points, Vectors, and Functions

### Example 1

Without using a calculator, graph the function r = sin θ for

0 ≤ θ ≤ π

### Example 2

Exercise. Determine if each graph is a reasonable graph of the given equation.

• r = 1 + cos θ for 0≤ θ ≤ π

### Example 3

Exercise. Determine if each graph is a reasonable graph of the given equation.

• \item $r = cos \frac{&theta;}{2}$ for $0&le; &theta; &le; &pi;$ PICTURE graph this (the correct graph)

### Example 4

Exercise. Determine if each graph is a reasonable graph of the given equation.

r = 2sinθ for 0≤ θ ≤ frac{π/2

### Example 5

Exercise. Determine if each graph is a reasonable graph of the given equation.

r = 2sinθ for 0≤ θ ≤ π/2