Plot the point having the given polar coordinates: (2,225 degrees)

Question

Plot the point having the given polar coordinates: (2,225 degrees)

Answer 1

(x,y) = (-sqr2, -sqr2) = about (-1.414, -1.414)

225 degrees is in quadrant III, where x and y are negative. Its reference angle is 45 degrees where x=y. r=2 = sqr(x^2 + y^2) = sqr(2+2) =sqr4 = 2

r is the hypotenuse of a right triangle with sides x and y

(x,y) = (2cos225, 2sin225) = (-sqr2, -sqr2)