Problem 16E
Converting coordinates Express the following polar coordinates in Cartesian coordinates.
Step-by-Step Solution:
Solution 16E
Step 1:
In this problem we have to express the given polar coordinates ( 1, ) in cartesian coordinates.
To convert polar coordinates ( r , to Cartesian coordinate (x , y) is ;
X = r cos(
Y = r sin(
Given polar coordinates ( r , = ( 1,
)
So , x = r cos(= (1) cos(
) = cos(
)
= - cos() , since cos(
) = -cos(x)
= -, since cos(
) =
.
y = r sin( = (1) sin(
) = sin(
)
= sin() , since sin(
) = sin(x)
= , since sin(
) =
.
Hence the cartesian co-ordinates are ( x, y) = ( ,
)
Step 2 of 1
