# How do you graph r = 1 + sin(theta)?

Jun 18, 2018

As below.

#### Explanation:

$r = 1 + \sin \theta$

Standard form of a sine function is $y = A \sin \left(B x - C\right) + D$

$A = 1 , B = 1 , C = 0 , D = 1$

$\text{Amplitude } = | A | = 1$

$\text{Period } = \frac{2 \pi}{|} B | = 2 \pi$

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 1$

graph{sin (x) + 1 [-10, 10, -5, 5]}