Posted by BT on Monday, March 1, 2010 at 8:39pm.
Given the polar coordinates of a point, how do I find the rectangular coordinates?
Given the rectangular coordinates of a point, how do I find the polar coordinates?
- trig - Reiny, Monday, March 1, 2010 at 9:04pm
In (2,3pi/4) r = 2 and the rotation angle is 3pi/4 radians or 135º
make a sketch, draw you angle first, then go out 2 units on that ray.
drop a line to the x-axis, you now have a right-angled triangle in the II quadrant with an outside angle of 135º, and a hypotenuse of 2.
the inside angle is 45º, so it is isosceles.
Use Pythagoras to find each of the sides to be 1
But you are in quadrant II, so the point is (-1,1)
Do the others the same way
For the second type,
plot the point, then make a diagram showing the right-angled triangle.
You will have the x and the y.
Use Pythagoras to find r,
then tan ß = y/x will let you find the angle.
Answer This Question
More Related Questions
- Trig (math) - 1.) Find all solutions of the equation. Leave answers in ...
- Math - plot the point given in polar coordinates and find the corresponding ...
- Math - A point in polar coordinates is given, Find the corresponding rectangular...
- trig - convert the point with polar coordinates (2,7pi/6) into rectangular ...
- Pre-Calculus - Find the rectangular coordinates of the point with the given ...
- Pre-Calculus - Find the polar coordinates of each point with the given ...
- Math - The rectangular coordinates of a point are given. Find two sets of polar ...
- pre calc.Math - Please help me any one of these please! Thank You to any one r=...
- Physics - If the rectangular coordinates of a point are given by (4,y), and its ...
- Pre-Calc - 2. The polar coordinates of a point are given. Find the rectangular ...