Yahoo Answers: Answers and Comments for X = 4 cos t, y = 4 sin t, π ≤ t ≤ 2 π? [Mathematics]
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From Anonymous
enUS
Sun, 08 Dec 2019 18:23:21 +0000
3
Yahoo Answers: Answers and Comments for X = 4 cos t, y = 4 sin t, π ≤ t ≤ 2 π? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
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From MyRank: x = 4 cos t, y = 4 sin t,
x = 4cost
x² = 4²...
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
Mon, 09 Dec 2019 04:30:46 +0000
x = 4 cos t, y = 4 sin t,
x = 4cost
x² = 4²cos²t
x² = 16cos²t…(1
y = 4sint
y² = 4²sin²t
y² = 16 sin²t…(2)
from equation (1) and (2)
x² + y² = 16cos²t + 16 sin²t
x² + y² = 16(cos²t + sin²t)
x² + y² = 16

From Pope: The parametric equations define a semicircle, ...
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
Sun, 08 Dec 2019 18:31:34 +0000
The parametric equations define a semicircle, centered on the origin, with radius 4, on or below the xaxis. Here is the Cartesian equation:
x² + y² = 16, y ≤ 0
or
y = √(16  x²)

From Ash: x = 4 cos t
cos t = x/4 ...(1)
y = 4 sin t
si...
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
Sun, 08 Dec 2019 19:08:48 +0000
x = 4 cos t
cos t = x/4 ...(1)
y = 4 sin t
sin t = y/4 ...(2)
We know sin²t + cos²t = 1
plug from (1) and (2)
(y/4)²+(x/4)²=1
y²/16 + x²/16 = 1
y² + x² = 16
y² = 16  x² ....(3)
Since π ≤ t ≤ 2 π, we have 1≤cos t ≤1
so the condition for x is 1≤ x/4 ≤1 or 4≤x≤4
Also since π ≤ t ≤ 2 π, we have 1≤sin t ≤0
so the condition for y is 1≤ y/4 ≤0 or 4≤y≤0
Cartesian equation is y² = 16  x²
4≤x≤4 ; 4≤y≤0
The portion traced by the graph is in III and IV quadrant

From Chris: Ask your math teacher.
Do you seriously think...
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
https://answers.yahoo.com/question/index?qid=20191208182321AAepRtH
Sun, 08 Dec 2019 18:50:04 +0000
Ask your math teacher.
Do you seriously think the brain dead idiots on Yahoo Answers who can't even write a complete sentence in English could possibly help you with your higher level mathematics equations?