2. Unit Circle
• Polar functions are
functions based on the
unit circle!
• They are the same equations as
Sinusoidal functions, except on a polar
grid.
3. What do they mean?
• R= the number of radians
• The number of circles that that
function goes to.
Theta= The angle measure on the unit
circle
4. Unit Circle
• r=(theta)
• Opposed to y=x in regular cartesian
functions
• In cartesian coordinates x is a function
of y and in polar r is a function of
theta.
5. Converting!
• Sometimes you will need to convert between
cartesian and polar coordinates. So here are so
equations to do so!
x= rcos(theta) r=(x^2+y^2)^1/2
y=rsin(theta) Theta=Arctan(y/x)
13. Cosine
• You can tell from the graph the
relationship between it and the sine
graph. It is just the flipped version and
the function goes to 1 but on the xais
15. Solution!
• Now you can see that the circle keeps
going around and around, so that
means that the function is undefined
because it is never going towards an
actual point.
20. Solution!
• If you plug in number numerically
trying to find out what the limit is you
would fine out that the answer is 1.267.
• y=8tan(9.0001)=1.267
• y=8tan(8.9999)=1.267