The rectangular coordinates of a point are (-4, 4). Find polar coordinates of the point.

Bevan Mcdonald 2021-02-09 Answered
The rectangular coordinates of a point are (-4, 4). Find polar coordinates of the point.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

au4gsf
Answered 2021-02-10 Author has 95 answers

We have been given the rectangular coordinates (-4,4) and we have to find the polar coordinates of the points. as we know that r=(x2+y2) now as rectangular coordinates are (x, y) and polar coordinates are (r,θ). r=(4)2+42
r=16+16
r=32
r=42 now as we know that α=tan1yx a=tan144
a=tan1(1)
a=π4
θ=π/4+π=3π4
θ=3π4 now The required polar coordinate =(42,3π4)

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-06-11
Find the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1).
asked 2021-11-23
Evaluate the integrals etcos(3et2)dt
asked 2022-06-28
How do you find parametric equations for the line of intersection of the planes 2 x + 5 z + 3 = 0 and x 3 y + z + 2 = 0 ?
asked 2020-11-30

Assum T:Rm to Rn is a matrix transformation with matrix A. Prove that if the columns of A are linearly independent, then T is one to one (i.e injective). (Hint: Remember that matrix transformations satisfy the linearity properties.
Linearity Properties:
If A is a matrix, v and w are vectors and c is a scalar then
A0=0
A(cv)=cAv
A(v + w)=Av + Aw

asked 2022-03-15
Angle between normal vector of ellipse and the major-axis.
I am trying to derive the angle made between the major or x-axis and the normal vector of an ellipse of general shape x=acos(t),y=bsin(t) with the parameter t reffering to Ellipse in polar coordinates. I need to solve it for any angle t. From standard reasoning I find the normal vector by its definition and checked it with the page on mathworld from wolfram and works well. Then since I know 2 points, namely a point ON the shape and a point on the normal vector I derive the angle of interest to be tan(ϕ)=abtan(t) Derivation. However this is very similar to the polar angle namely its simply the term a and b flipped. But when thinking about it I keep getting confused, am I correct or do I need the polar angle? If so where did I go wrong?
I also found Normal to Ellipse and Angle at Major Axis but this page confused me a bit, one idea I had was they use the polar angle vs the angle I am in need of (ϕ) then I would indeed get by combing t=tan1(abtan(θ)) and ϕ=tan1(abtan(t))
ϕ=tan1(abtan(tan1big(abtanθbig)))=tan1(a2b2tanθ)
My excuse for my rambling, I find these angles confusing...
asked 2022-05-11
Integrate 5 x 3 2 1 2 x 2 + 3 x 2 + cos ( 2 x ) 2 cos ( 3 x ) with respect to x.
asked 2021-08-11
Evaluate the integral.
sec6xtanxdx

New questions