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
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!
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!