Question

Sketch the region defined by the inequalities $0 \leq r \leq 2 \mathrm{sec} \theta$ and $-\pi / 4 \leq \theta \leq \pi / 4$. 

   Sketch the region defined by the inequalities $0 \leq r \leq 2 \mathrm{sec} \theta$ and $-\pi / 4 \leq \theta \leq \pi / 4$.
University calculus: early transcendentals (Global Edition)
University calculus: early transcendentals (Global Edition)
Joel Hass, George… 3rd Edition
Chapter 10, Problem 26 ↓
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Sketch the region defined by the inequalities $0 \leq r \leq 2 \mathrm{sec} \theta$ and $-\pi / 4 \leq \theta \leq \pi / 4$.
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Transcript

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00:01 Okay, so here we are considering the inequalities here.
00:05 We have zero less than or equal to r, which is less than or equal to two times secant of theta.
00:15 And we have that theta is between negative pi over four and pi over four.
00:20 So we have negative pi over four, which is less than or equal to theta, which is less than or equal to pi over four.
00:30 So we want to now sketch the region defined by these inequalities.
00:35 So we could use a software like maple to go ahead and graph this.
00:41 And what we would see if we would graph this is, well, something just like this.
00:45 So here we have axis...
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