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anonymous
 5 years ago
The x'y'coordinate system has been rotated θ degrees from the xycoordinate system. The coordinates of a point in the xycoordinate system are given. Find the coordinates of the point in the rotated system. Round to three decimal places, if necessary. θ=60°, (4,1) A. ( 2.964, 2.866) B. (2.866,  2.964) C. ( 2.866, 2.964) D. (2.964,  2.866) E. (1.134, 3.964)
anonymous
 5 years ago
The x'y'coordinate system has been rotated θ degrees from the xycoordinate system. The coordinates of a point in the xycoordinate system are given. Find the coordinates of the point in the rotated system. Round to three decimal places, if necessary. θ=60°, (4,1) A. ( 2.964, 2.866) B. (2.866,  2.964) C. ( 2.866, 2.964) D. (2.964,  2.866) E. (1.134, 3.964)

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1is that t = 60 degrees?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1so the point of 4,1 in the new system and it gives a choice of answers right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes sorry Idk why it posted like that.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1the angle of (4,1) = tan^1(1/4) = 14.036 degrees to begin with right? now sweep 60 past that and you should be what 60  t ?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.160t is good 45.963 is your new angle... with a radius of sqrt(17) still right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1your new x and y are gonna be; x = sqrt(17) cos(45.963) y = sqrt(17) sin(45.963)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right... ok (2.866, 2.964)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you found the angle of (4,1) subtracted that from the angle given. where did you get the 17 from?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1the distance fromthe origin to the point is sqrt(4^2 + 1^2) = sqrt(17)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1once you know the new angle; thats your radial measurement to convert it from polar to rects

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok I got it. Thanks!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.160 is the sweep; minus the original angle = new angle formed by rotation of axis

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1sqrt(17) cos(new't'), sqrt(17) sin(new't') are your new coords right? :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oakey dokey! so Yes they are! Cool thanks!
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