Plot the point 3, 3 given in polar coordinates, and find other polar coordinates (r,0) of the point for which the following are true. (a) r>0, - 2ns0 <0 (b) r< 0, 0s0<2n (c) r> 0, 2r 5 () < 4r (a) What are the coordinates of the point for which r> 0, - 2U < () < 0? (Type an ordered pair. Type an exact answer using n as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (b) What are the coordinates of the point for which r<0, 0s0<2x? (Type an ordered pair. Type an exact answer using n as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (c) What are the coordinates of the point for which r> 0, 2ns0 < 4t? (Type an ordered pair. Type an exact answer using n as needed. Use integers or fractions for any numbers in the expression.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.6: Polar Equations Of Conics
Problem 24E
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5T
Plot the point 3,
given in polar coordinates, and find other polar coordinates (r,0) of the point for which the following are
3
true.
(a) r>0, - 2ns0 < 0
(b) r< 0, 0s0< 2n
(c) r> 0, 2r s () < 4r
(a) What are the coordinates of the point for which r> 0, - 2T < () < 0?
(Type an ordered pair. Type an exact answer using t as needed. Use integers or fractions for any numbers in the expression.
Simplify your answer.)
(b) What are the coordinates of the point for which r< 0, 0<0<2x?
(Type an ordered pair. Type an exact answer using t as needed. Use integers or fractions for any numbers in the expression.
Simplify your answer.)
(c) What are the coordinates of the point for which r> 0, 2n s0 < 4x?
(Type an ordered pair. Type an exact answer using T as needed. Use integers or fractions for any numbers in the expression.
II
Transcribed Image Text:5T Plot the point 3, given in polar coordinates, and find other polar coordinates (r,0) of the point for which the following are 3 true. (a) r>0, - 2ns0 < 0 (b) r< 0, 0s0< 2n (c) r> 0, 2r s () < 4r (a) What are the coordinates of the point for which r> 0, - 2T < () < 0? (Type an ordered pair. Type an exact answer using t as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (b) What are the coordinates of the point for which r< 0, 0<0<2x? (Type an ordered pair. Type an exact answer using t as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (c) What are the coordinates of the point for which r> 0, 2n s0 < 4x? (Type an ordered pair. Type an exact answer using T as needed. Use integers or fractions for any numbers in the expression. II
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