Eliminate the parameter t to write an equation containing only x and y. Then report the domain and range of the graph. x=4+ cos t y= 2cos t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Eliminate the parameter f to write an equation containing only x and y. Then report the domain and range of the graph.
x=4+ cos t
y= 2cos' t
(a) Write the equation in terms of only x and y
O y = 6- x
O y = 2 (2 - 4)3
O (2 - 4)2 + (v– 2)2 = 1
O y = *- 6
Oy= 6+2
O (z +4)2 +
= 1
Oy= 223 – 4
O (2-4)? + (y+ 2)² = 1
O(6-4) + =1
O (- -4)2 +-1
Transcribed Image Text:Eliminate the parameter f to write an equation containing only x and y. Then report the domain and range of the graph. x=4+ cos t y= 2cos' t (a) Write the equation in terms of only x and y O y = 6- x O y = 2 (2 - 4)3 O (2 - 4)2 + (v– 2)2 = 1 O y = *- 6 Oy= 6+2 O (z +4)2 + = 1 Oy= 223 – 4 O (2-4)? + (y+ 2)² = 1 O(6-4) + =1 O (- -4)2 +-1
The domain is -4 <X<4
O The domain is 0 sxs2
O The domain is -4 sxs4
O The domain is 3 sxs5
O The domain is the set of all real numbers.
O None of the above.
(c) Report the range of the graph.
O The range is 3< y<5
The range is 0sys2
O The range is 3 sys 5
O The range is 0 <y<2
O The range is -2 sys2
O The range is -2 <y<2
The range is the set of all real numbers.
O None of the above.
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Transcribed Image Text:The domain is -4 <X<4 O The domain is 0 sxs2 O The domain is -4 sxs4 O The domain is 3 sxs5 O The domain is the set of all real numbers. O None of the above. (c) Report the range of the graph. O The range is 3< y<5 The range is 0sys2 O The range is 3 sys 5 O The range is 0 <y<2 O The range is -2 sys2 O The range is -2 <y<2 The range is the set of all real numbers. O None of the above. Submit Assignment Qu
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