What are the components of the vector between the origin and the polar coordinate (10, (7pi)/6)?

1 Answer
Feb 19, 2016

Components are -5sqrt3 along x axis and -5 along y axis.

Explanation:

Components of a vector between the origin and the polar coordinate (r,theta) can be written as (rcostheta, rsintheta), where rcostheta is the component along x axis and rsintheta is the component along y axis.

Hence, components of a vector between the origin and the polar coordinate (10,(7pi)/6) are

10cos(7pi/6) or 10*(-cospi/6) i.e. 10*-sqrt3/2

or -5sqrt3 along x axis

10sin(7pi)/6 or 10*(-sinpi/6) i.e. 10*-1/2

or -5 along y axis