Wednesday

November 26, 2014

November 26, 2014

Posted by **Cambridge** on Thursday, December 19, 2013 at 8:42am.

How would I proceed on this problem? I know r = cos theta is a plot of a circle

but how would I insert a and b in there? Thanks

- Coordinates in 3-D, Polar Coordinates, Precalculus -
**Reiny**, Thursday, December 19, 2013 at 12:00pmHave some fun here, changing the values of a and b

I used a=4 and b=3

http://www.wolframalpha.com/input/?i=plot+r+%3D4cos%28Ø%2B3%29+%2C-6.28+%3C+Ø+%3C+6.28

Notice I also placed a domain on Ø from -2π to +2π

things really get interesting if you put a coefficient in front of the Ø , such as

r = 4cos(7Ø + 3)

- Coordinates in 3-D, Polar Coordinates, Precalculus -
**Steve**, Thursday, December 19, 2013 at 4:01pmcos(θ+b) just rotates the figure around the origin by b.

In effect, it rotates the x- and y-axes by b.

acos(θ+b) scales the rotated figure by a factor of a.

**Answer this Question**

**Related Questions**

Precalculus - Let a and b be real numbers. Describe the graph of r = a(cos(theta...

Math (Calculus) - Given any Cartesian coordinates, (x,y), there are polar ...

Math Graph - In polar coordinates, the graph r=sin(θ)/cos^2(θ) ...

Pre-calculus; urgent ! Please help ! - 1.Graph the polar equation r=3-2sin(theta...

Calculus please help ! - 1.Graph the polar equation r=3-2sin(theta) 2. Find the ...

Math ! Please Help ! - 1.Graph the polar equation r=3-2sin(theta) 2. Find the ...

Polar to Rectangular Form - The letters r and theta represent polar coordinates...

Precalc - Coordinates in 3D - Polar Coords - Show that r = cos theta is a graph ...

Write in (x , y) Form - The letters r and theta represent polar coordinates. ...

Precalculus - Suppose that the point (rho, theta, phi)= (12, 2pi/3, 5pi/4) in ...