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Points, Vectors, and Functions
Home
Calculus
Points, Vectors, and Functions
Exercises
Polar Coordinates Exercises
Switching Coordinates Exercises
Intro
Topics
Examples
Exercises
Terms
Best of the Web
Quizzes
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Exercises
Functions
Increasing or Decreasing or...
Bounded
Even and Odd Functions
Magnitude
Direction
Scaling Vectors
Unit Vectors
Vector Functions
Sketching Vector Functions
Graphing Parametric Equations
Points on Graphs of Parametric Equations
Parametrizations of the Unit Circle
Parameterization of Lines
Polar Coordinates
Simple Polar Inequalities
Switching Coordinates
Translating Equations and Inequalities between Coordinate Systems
Graphing Polar Functions
Rules of Graphing We Do (or Don't) Have
Bounds on Theta
Intersections of Polar Functions
Table of Contents
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Page (2 of 4) Exercises:
1
2
3
4
Exercise 2
Convert each set of polar coordinates to rectangular coordinates.
Answer
Draw the triangle for the point
:
We have
therefore
For
y
we have
therefore
The rectangular coordinates of the point are
.
Draw the triangle for the point
Since
the
x
and
y
coordinates will be the same, which means we only need to find one of them.
Therefore
The rectangular coordinates of the point are
The point
is on an axis, we don't need a triangle.
We can see that the
x
coordinate is 0 and the
y
coordinate is 7. The rectangular coordinates of this point are (x,y) = (0,7).
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