Question

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

Answer 1

`( (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 )