SOLUTION: 215. Give the rectangular coordinates: (2, 45°) Answer Choices: A)(√5, √5) C)(√3, √3) B)(√2, √2) D)(2, 2) 216. Give the rectangula

Algebra ->  Coordinate-system -> SOLUTION: 215. Give the rectangular coordinates: (2, 45°) Answer Choices: A)(√5, √5) C)(√3, √3) B)(√2, √2) D)(2, 2) 216. Give the rectangula      Log On


   



Question 566695: 215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2, 2)

216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)

217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)

218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)


Answer by Alan3354(69443) About Me  (Show Source):
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215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2,2)
-----------
x+=+r%2Asin%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29
y+=+r%2Acos%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29
--> (sqrt(2),sqrt(2))
------------------
216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)
Do it like 215 above. You sure that's -6 ?
=======================
217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)
----------
r+=+sqrt%28%28-2%29%5E2+%2B+2%5E2%29+=+2sqrt%282%29
angle = arctan(y/x) = arctan(-1) = 135 degs
-----
--> (2sqrt(2),135)
=======================
218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)