Question

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

Answer 1

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.