Question

How do you graph `r=-5/theta`?

Answer 1

Drawing sense is clockwise. This keeps r > 0 and `theta` radian < 0 decreases through negative values. Table for graphing of this spiral is given in the explanation.

Explanation:

r is kept positive by varying `theta` (radian), through negative

values. This drawing is clockwise, `theta` will decrease but increase

in magnitude.

For this spiral graph, smaller magnitude for `theta` gives higher r. .

Table for plotting points (r, `theta` radian) for the spiral:

Scale for `r = -5/theta`: 1 mm = 1 radian = `57.3^o`.

As a matter of convenience, `theta` is entered in degrees

`(r, theta ): ( 100 mm , -2.9^o ) ( 50 mm, -6.7^o) ( 10 mm, -28.75^o )`

`( 5 mm, -57.3^o ) ( 2.5 mm, -114.6^o ) (1 mm, -286.5^o) (0.5 mm, -573^o)`

For conversion of `theta` degrees to radian, divide by 57.3.