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**Unformatted text preview: **818 Applications of Trigonometry
In function mode, the calculator automatically divided the interval [Xmin, Xmax] into 96
equal subintervals. In polar mode, however, we must specify how to split up the interval
[θmin, θmax] using the θstep. For most graphs, a θstep of 0.1 is ﬁne. If you make it too
small then the calculator takes a long time to graph. It you make it too big, you get chunky
garbage like this. You’ll need to take the time to experiment with the settings so that you get a nice graph.
Here are some curves to get you started. Notice that some of them have explicit bounds on
θ and others do not.
θ
2 θ
3 (a) r = θ, 0 ≤ θ ≤ 12π (f) r = sin3 (b) r = ln(θ), 1 ≤ θ ≤ 12π (g) r = arctan(θ), −π ≤ θ ≤ π (c) r = e.1θ , 0 ≤ θ ≤ 12π (h) r = 1
1−cos(θ) (d) r = θ3 − θ, −1.2 ≤ θ ≤ 1.2 (i) r = 1
2−cos(θ) (e) r = sin(5θ) − 3 cos(θ) (j) r = 1
2−3 cos(θ) + cos2 8. How many petals does the polar rose r = sin(2θ) have? What about r = sin(3θ), r = sin(4θ)
and r = sin(5θ)? With the he...

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