- #1
Modest Learner
- 26
- 0
Homework Statement
Draw the graph of r = 1/2 + cos(theta)
Homework Equations
The equation is itself given in the question. It is a Limacon.
The Attempt at a Solution
Step-1 ---> Max. value of r is 1/2 + 1 = 3/2 [ at cos (0) ]
Min. value of r is 1/2 - 1 = -1/2 [ at cos (Pi) ]
Step-2 ---> Symmetry The curve is symmetrical about x-axis.
Step-3 ---> I calculated all the values of "r" from 0 to 180 degrees. These are 1.5, 1.336, 1.207, 1, 0.5, 0, -0.207, -0.336, -0.5. These are in standard form like 0, 30, 45... and so on.
Step-4 ---> Now I draw the graph. Till 90 degrees its all right; but at 120 degrees the problem comes. How can I draw show 0 as well as 120 degrees? How can I show (-0.5, 180 degrees) ?