SOLUTION: Point Q(-12, -9) is on the terminal arm of a circle in standard position a) Give exact coordinates of a point P(x, y) on the terminal arm of a unit circle b) What is the value

Algebra ->  Angles -> SOLUTION: Point Q(-12, -9) is on the terminal arm of a circle in standard position a) Give exact coordinates of a point P(x, y) on the terminal arm of a unit circle b) What is the value       Log On


   



Question 1084479: Point Q(-12, -9) is on the terminal arm of a circle in standard position
a) Give exact coordinates of a point P(x, y) on the terminal arm of a unit circle
b) What is the value of tan θ and the measure of angle θ?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Point Q(-12,-9) is on the terminal arm of a circle in standard position
a) Give exact coordinates of a point P(x,y) on the terminal arm of a unit circle
b) What is the value of tan(t) and the measure of angle t?
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tan(t) = y/x = 3/4
--> t =~ 36.87 + 180 = 216.87 degs
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a) Give exact coordinates of a point P(x,y) on the terminal arm of a unit circle
r = sqrt(s^2 + y^2) = 15
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On a unit circle, x = -12/15 = -4/5
y = -9/15 = -3/5
--> (-4/5,-3/5)