SOLUTION: Find the rectangular coordinates of the point
whose polar coordinates are:
{{{(matrix(1,3,-7.2,",",pi/5))}}}
Round your answer to three significant digits.
x =
y =
Algebra ->
Trigonometry-basics
-> SOLUTION: Find the rectangular coordinates of the point
whose polar coordinates are:
{{{(matrix(1,3,-7.2,",",pi/5))}}}
Round your answer to three significant digits.
x =
y =
Log On
That's this point:
Notice in the above graph, that θ is in QI, but
r is negative. So we find the angle
in QI indicated by the dotted line and the red
arc. But then since r = -7.2, we go 7.2 units
in the OPPOSITE direction, which puts the point
in QIII. Now from that point, we draw a perpendicular
up to the x-axis.
So the x-ccordinate of the point is
and the y-coordinate of the point is
The point in rectangular coordinates to three significant
digits is (-5.82,-4.23)
Edwin