Q1/ A// 1- Plot the Point in polar coordinates: (2, 8t/3) 2- Convert from polar to rectangular (Cartesian) coordinates (4, 2n/3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 41E
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Q1/ A// 1- Plot the Point in polar coordinates: (2, 8t/3)
2- Convert from polar to rectangular (Cartesian) coordinates (4, 2n/3).
B/Test the symmetric of polar equations:
1- r= 1+5 cos 0
2- r= 3 sin 0
***
**
Q2/ Graph the polar equation r = 4+4 cos 0
**
**
Q3/ Find the area of the region that lies inside r 3 sin0 and outside r 2-sin0
***
***
Q4 /A// Determine the direction cosines for the vector v (4, 2, -8)
B// Calculate the angle between vectors v (4i – 2k), W= (2i -j+3k)
Transcribed Image Text:Q1/ A// 1- Plot the Point in polar coordinates: (2, 8t/3) 2- Convert from polar to rectangular (Cartesian) coordinates (4, 2n/3). B/Test the symmetric of polar equations: 1- r= 1+5 cos 0 2- r= 3 sin 0 *** ** Q2/ Graph the polar equation r = 4+4 cos 0 ** ** Q3/ Find the area of the region that lies inside r 3 sin0 and outside r 2-sin0 *** *** Q4 /A// Determine the direction cosines for the vector v (4, 2, -8) B// Calculate the angle between vectors v (4i – 2k), W= (2i -j+3k)
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