The rectangular coordinates of a point are given (-5,-5root3). Find polar coordinates of the point. Express theta in radians.
thanks alot
You are welcome.
To find the polar coordinates of a point given its rectangular coordinates, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y / x)
Given that the rectangular coordinates are (-5, -5√3), let's use these formulas to find the polar coordinates.
First, we'll calculate the value of r:
r = √((-5)^2 + (-5√3)^2)
= √(25 + 75)
= √100
= 10
Next, we'll calculate the value of θ:
θ = arctan((-5√3) / (-5))
= arctan(√3)
= π/3 radians
Therefore, the polar coordinates of the point are (10, π/3 radians).
4 pi/3 = pi + pi/3
in quadrant three
see your original question