Honors Precalculus 9.2 Lines & Circles

University:
DePaul University
Course:
History Of Animation (ANI 206)
Academic year:

2025
Views:

436

Pages:

5
Author:

Rushil Shah

Honors Precalculus 9.2 day 1 Lines & Circles Graphing Exploration Part I: Explore these graphs on your TI. (Polar mode, Radians, Zoom:Trig and make sure your Xsci and Yscl are both set to 1. You will also need to check that theta min =0, theta max = 2pi , with @step = approx. .1) 1) r * sin theta = 2 2) r * cos theta = 4 3) r * sin theta = - 1 4) r * cos theta = - 3 Polar equation of the form r * sin theta = a are lines and polar equations of the form r * cos theta = a are lines. 9.2 Day 2 Exploration: Circles in Polar Coordinates 1. The graph of r = 4 is a circle. Find the rectangular equation. Graph. 2. The graph r = 2cos theta - 3sin theta is also a circle. Find the rectangular equation. Graph. 3. Circles are also of the r = a * cos theta or r = a * sin theta Make a sketch of what you think r = 3cos theta will look like. Confirm on your graphing calculator and by finding the rectangular equation. Explain completely. Graph these without the aid of your calculator. 5) r * sin theta = 5 6) r * cos theta = - 6 Part II: Explore these graphs on your TI. (Polar mode, Radians, Zoom: Trig, Zoom:Fit, Zoom:Square and make sure your Xscl and Yscl are both 1) 7) r = 4sin theta 8) r = 5cos theta Polar equations of the form r = 2a * sin theta with a radius of and center at in rectangular coordinates. (a > 0) Polar equations of the form r = - 2a * sin theta*i with a radius of and center at in rectangular coordinates. (a > 0) Polar equations of the form r = 2a * cos theta and center at with a radius of in rectangular coordinates. (a > 0) Polar equations of the form r = - 2a * cos theta are with a radius of and center at in rectangular coordinates. (a > 0) Each passes through the Try these without the aid of your calculator. 15) r = 5sin theta 16) r = - 7cos theta 17) r = 5cos theta 18) r = - sin theta

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