first off, that's pi not "pie".
r=2-4sin3θ
Since sin3θ has a minimum of -1, that makes max r=6.
So, when is sin3θ = -1? When 3θ = 3π/2
That is, when θ=π/2
A glance at the graph makes this clear.
http://www.wolframalpha.com/input/?i=r%3D2-4sin3%CE%B8
Of course, since sin3θ has a period of 2π/3, r=6 when θ=pi/2+2kπ/3
That is, when θ=π/2, 7π/6, 11π/6
For what values of theta 0<theta < 2pie (also equal to these) do maximum r -values occur on the graph of the polar equation r= 2-4sin3 theta ? Note that a maximum r-value occurs at a point that is the max distance from the pole?
I know the max is 6 but what would be the radians around the unit circle?
1 answer
1 answer