SOLUTION: (a) Given the point (8, 150�) in polar coordinates, find a corresponding point in rectangular coordinates. (State exact values, not decimal approximations.) (b) Given the point

Question 1055879: (a) Given the point (8, 150�) in polar coordinates, find a corresponding point in rectangular coordinates. (State exact values, not decimal approximations.)
(b) Given the point (4, � 4) in rectangular coordinates, find a corresponding point inpolar coordinates. Express the angle exactly in radians. (Your angle should include p).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(a) Given the point (8, 150�) in polar coordinates, find a corresponding point in rectangular coordinates. (State exact values, not decimal approximations.)
x = r*cos(t)
x = 8*cos(150) = -6.93
--
y = r*sin(t)
y = 8*sin(150) = 4
--------------------------

(b) Given the point (4, � 4) in rectangular coordinates, find a corresponding point in polar coordinates. Express the angle exactly in radians. (Your angle should include pi).
----
r = sqrt[4^2 + 4^2] = 4sqrt(2)
theta = arctan(-4/4) = arctan(-1) = (7/4)pi
---------------
Cheers,
Stan H.
-------------

RELATED QUESTIONS
Find the rectangular coordinates of the point with the given polar coordinates. (3,... (answered by Fombitz)

The rectangular coordinates of a point are given below. Find polar coordinates of the... (answered by fractalier)

the rectangular coordinates of a particular point are x=7, y=-24, find the polar... (answered by bucky)

Find the polar coordinates of the point whose rectangular coordinates are (4sqrt 3, -4) (answered by Edwin McCravy,stanbon)

Convert the polar coordinates point (3, 60�) to rectangular coordinates. (answered by fractalier)

find the rectangular coordinates of the point with polar coordinates (-2,... (answered by Alan3354)

find the rectangular coordinates of the point whose polar coordinates are... (answered by Fombitz)

Find the rectangular coordinates of the point with polar coordinates (2,... (answered by fractalier)

Point a in the cartesian plane is at (2,3). Say that A is at the polar coordinates of (r, (answered by greenestamps)