SOLUTION: The polar coordinates of a point are (13.60, 72.90°). What is correct ratio (according to the cartesian coordinates and radius) for the tangent of the angle at this point? A

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Question 1205701: The polar coordinates of a point are (13.60, 72.90°).
What is correct ratio (according to the cartesian coordinates and radius) for the tangent of the angle at this point?
A. 4/13
B. 13/4
C. 31.23/9.61
D. 13.60/13
E. 12/5
F. 13.60/9.61

What are the Cartesian coordinates for the point?
A. (4, 13)
B. (8, 26)
C. (5, 12)
D. (13.60, 0.40 radians)
E. (12.48, 5𝝅 /2 radians)
F. (9.61, 9.61)

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!


You have r and θ, so all you need to find x and y are

cos%28theta%29=x%2Fr

sin%28theta%29=y%2Fr

tan%28theta%29=y%2Fx or tan%28theta%29=sin%28theta%29%2Fcos%28theta%29

Edwin