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

1 Answer
Jim G.
Feb 12, 2016

( (7/2 sqrt3) ,(7/2 ))

Explanation:

using the formulae that links Polar to Cartesian coordinates.

• x = rcostheta

• y = rsintheta

in this question : r = 7 and theta = pi/6

hence x = 7cos(pi/6) = 7.sqrt3/2

and y = 7sin(pi/6) = 7.(1/2 )= 7/2

(note: using exact values for trig functions )

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