Problem 15E
Express the following polar coordinates in Cartesian coordinates.
\((3,\ \frac{\pi}{4})\)
Step-by-Step Solution:
Solution 15EStep 1:In this problem we have to express the given polar coordinates ( 3, ) in cartesian coordinates.To convert polar coordinates ( r , to Cartesian coordinate (x , y) is ; X = r cos( Y = r sin(Given polar coordinates ( r , = ( 3, )So , x = r cos(= 3 cos() = 3= , since cos() = . y = r sin( = 3 sin() = 3= , since sin() = .Hence the cartesian co-ordinates are ( x, y) = ( , )
Step 2 of 1
