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Convert the point P=(r,theta)to a rectangular coordinate of the form (x,y): (2,-pi/6)

Convert the point P=(r,theta)to a rectangular coordinate of the form (x,y): (2,-pi-example-1
User Kachna
by
7.7k points

1 Answer

7 votes

Answer:

B. (x, y) = (√3, -1)

Explanation:

To convert from the polar form, (r, θ) to the rectangular form, use the formula below:


(x,y)=(r\cos\theta,r\sin\theta)

Thus, given the polar form:


(2,-(\pi)/(6))

Its rectangular form is:


\begin{gathered} (x,y)=\left(2\cos\left(-(\pi)/(6)\right),2\sin\left(-(\pi)/(6)\right)\right) \\ =\left(2*(√(3))/(2),2\left(-(1)/(2)\right)\right) \\ =(√(3),-1) \end{gathered}

The rectangular form, (x, y) = (√3, -1).

The correct option is B.

User Maelga
by
8.0k points

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