Convert to rectangular coordinates
( 11, 3π/4 )
(x, y) =
(11cos(3pi/4), 11sin(3pi/4)) =
(11 * -√2/2, 11 * √2/2) =
(-11√2/2, 11√2/2)
Rec(11: (3pi/4) = (10.956... , 0.972...)
{-(11/Sqrt[2]), 11/Sqrt[2]}
11 cos 3π/4 = - 11 / √2 = - 11 √2 / 2
11 sin 3π/4 = 11 / √2 = 11 √2 / 2
second quadrant
co-ordinates are (- 11 √2 / 2 , 11 √2 / 2)
Comments
(x, y) =
(11cos(3pi/4), 11sin(3pi/4)) =
(11 * -√2/2, 11 * √2/2) =
(-11√2/2, 11√2/2)
Rec(11: (3pi/4) = (10.956... , 0.972...)
{-(11/Sqrt[2]), 11/Sqrt[2]}
11 cos 3π/4 = - 11 / √2 = - 11 √2 / 2
11 sin 3π/4 = 11 / √2 = 11 √2 / 2
second quadrant
co-ordinates are (- 11 √2 / 2 , 11 √2 / 2)