Polar And Parometric

Question 1

How to convert a rectangular coordinates into polar

Answer 1

Find r with Pythagorean theorum to find r then use the other two equations to find the theta

Question 2

How to convert polar to rectangular

Answer 2

RcosX

RsinX

Question 3

How to convert a polar equation into rectangular

Answer 3

-Substitute x and y for rcosx and rsinX.
-If squared. You can divide everything but a single r in the squared side so they cancel out and then
Isolate r

Question 4

Convert rectangular equations to polar

Answer 4

Expand if squared and multiply.

Substitute r values.

Isolate remaining r (factor if multiple rs.)
Try to get r=o and r=fx

Question 5

Eliminating the parameter

Answer 5

Solve for t
Substitute for t
Simplify

Question 6

Convert the equation of a conic into parametric.

Answer 6

The x fraction = cost sine is visa versa
Ignore squared
Isolate the variable

Question 7

Ferris wheel problems

Answer 7

Make 2 separate equations for the x displacement and the y displacement
Know that b = 2pi/time