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
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y = r*sin(t)
y = 8*sin(150) = 4
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(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).
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r = sqrt[4^2 + 4^2] = 4sqrt(2)
theta = arctan(-4/4) = arctan(-1) = (7/4)pi
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Cheers,
Stan H.
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