Question

What is the Cartesian form of (−10,−17π16))?

Answer 1

What is the Cartesian form of (−10,−17π16))?

Answer 2

Here the given coordinates are -10,17π, 16;

which is in cylindrical coordinate;

r = -10; phi = 17π and z = 16;

x2+y2 = r2;

x2 + y2 = 100;

inverse of tan(phi) = y/x;

inverse of tan(-17π) = y/x;

-89 = y/x;

y2 = 7921x2;

now putting this value in x2 +y2 = 100;

x2 + 7921x2 = 100;

x2(7922) = 100;

x2 = 100/7922;

x = .11;

y = -9.99