SOLUTION: Please help me solve this problem .
Find the Cartesian coordinates of the given point.
(√3,pi/6)
Algebra.Com
Question 1073641: Please help me solve this problem .
Find the Cartesian coordinates of the given point.
(√3,pi/6)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You want to find the Cartesian coordinates of a point
a distance from the origin,
along a line forming an angle with the positive x-axis.
A full turn is or .
An angle is of that.
You know and ,
and you need to find the lengths of OQ and PQ,
the legs of right triangle OPQ.
Maybe you remember that
and .
If you also remember trigonometric ratios and "SOHCAHTOA",
you can apply all that to right triangle OPQ,
and find and .
If you don't, maybe you remember the Pythagorean theorem.
Triangle OPQ is half of an equilateral triangle,
so .
The Pythagorean theorem, applied to OPQ says that
.
Substituting what you know, you get
So the Cartesian coordinates are ,
or for an approximate x value, .
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