Precalculus Trigonometry Please TYPE answers Find the polar

Precalculus & Trigonometry Please TYPE answers

Find the polar coordinates of (- 8, 8). Express the angle in degrees using the smallest possible positive angle.

Solution

12. R²=x²+y²

      R²= -8²+8² = 8sqrt2

   tan theta = y/x

theta =tan^-1(8/-8) = tan^-1(-1)= 145 degree

polar coordinate is (8sqrt2 , 3pi/4)