Graphing Polar Equation: r = sin(t) + cos(t)

  • Thread starter Thread starter mk200789
  • Start date Start date
  • Tags Tags
    Polar
Click For Summary
SUMMARY

The discussion centers on graphing the polar equation r = sin(t) + cos(t). Participants emphasize the importance of selecting values for t within its domain to compute corresponding r values. By plotting these points in polar coordinates, one can infer the shape of the graph. The approach mirrors that of Cartesian graphing, where specific x values are chosen to determine y values.

PREREQUISITES
  • Understanding of polar coordinates
  • Basic knowledge of trigonometric functions
  • Familiarity with graphing techniques
  • Ability to interpret mathematical equations
NEXT STEPS
  • Learn how to convert polar coordinates to Cartesian coordinates
  • Explore the properties of polar equations
  • Study graphing techniques for trigonometric functions
  • Investigate the use of graphing software for polar equations
USEFUL FOR

Students studying mathematics, particularly those focusing on polar coordinates and trigonometric functions, as well as educators looking for effective graphing strategies.

mk200789
Messages
7
Reaction score
0

Homework Statement


let r = sin(t)+ cos(t)
sketch the graph


Homework Equations





The Attempt at a Solution



i really don't know how to start this off.
i know some working should be done in order to sketch it but what?
 
Physics news on Phys.org
If you were sketching a graph in the Cartesian plane (x,y), how would you do it? You'd pick some x points, calculate the y value, and plot the points, and then infer the shape of the curve from that.

It's no different here. Let t take on a number of values in its domain, and calculate r. Then plot those points in polar coordinates.
 
really? ohkay~
 

Similar threads

Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
9K
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
8
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K