Rectangular coordinates and polar coordinates
Favorites|Homepage
Subscriptions | sitemap
HOME > > Rectangular coordinates and polar coordinates

Rectangular coordinates and polar coordinates

[From: ] [author: ] [Date: 12-06-11] [Hit: ]
(4,5. (3,6. (2,plz help!......
For questions 4 - 6, the rectangular coordinates of a point are given. Find the polar coordinates of each point. (2 points each)
4. (4, 0)









5. (3, 4)








6. (2, -2)



plz help! i dont know how to do it/ strat it

-
Use two equations:

To find θ: tan(θ)= y/x, but pay attention to the quadrant your point lies in.

To find r: X^2+ y^2= r^2

4) (4,0) this one is easier, because it lies on the x axis, to the right of the origin. So
θ= 0 and r= 4
(4,0) becomes (4, 0 degrees)

5) (3,4) lies in Q1; so θ is < 90

θ= arctan( 4/3)= 53.13 degrees

r= sqr(3^2+ 4^2)= 5

(5, 53.13 deg)

6) (2,-2) lies in QIV, so θ> 270

θ= arctan(-2/2)= 315

r = sqr(8)= 2sqr2

(2sqr2, 315 deg)

Hopiing this helps!
1
keywords: Rectangular,and,coordinates,polar,Rectangular coordinates and polar coordinates
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .