math (please please please help)

posted by .

How to convert into polar form?

z = 1 - i

w = 1 - √3i

  • math (please please please help) -

    The polar form expresses a complex number as:

    z = |z| exp(i theta)

    theta is the angle with the positive real axis.

    For z = 1 - i, we have:

    |z| = sqrt(2)

    Then it's easy to see that you can take theta = -pi/4:

    exp(-i pi/4) = cos(pi/4) - i sin(pi/4) =
    1/sqrt(2) (1-i).

    Then in case of

    w = 1 - √3i

    you have:

    |w| = sqrt(4) = 2

    And you easly see that theta = -pi/3

    You can compute theta directly by taking arctan of imaginary part divided by the real part, but you may then need to add pi to this. If you multiply z by -1, theta changes by plus or minus pi, while the ratio stays the same.

  • math (please please please help) -

    In polar form, the first is (1/sqrt(2),-pi/4)

    The second is (2,-pi/3)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. precalculus

    convert the equation y^2 = 2x -x^2 into polar form. convert the equation r = 2tan(theta) into rectangular form. I'm not really sure what either of these mean. I vaguely understand polar coordinates, but I'm not sure how to convert …
  2. grade 11 math

    I don't get how to do this. I'm so lost please help me. Determine the equation of the parabola with roots 2+√3 and 2-√3, and is passing through the point (2,5) this is what i did but its the wrong answer: y= a[x + (2+√3)] …
  3. PRECALCULUS HELP PLEASE!

    convert the polar equation to rectangular form. 1.) r sec(theta) = 3 2.) r = 4 cos(theta) - 4 sin(theta) convert from rectangular equation to polar form. 1.) x^2 + (y-1)^2 = 1 2.) (x-1)^2 + (y+4)^2 = 17
  4. pre calc.Math

    Please help me any one of these please! Thank You to any one r=2-6 cos(θ) convert this polar coordinate equation into an equation in rectangular coordinates(x,y) given (-8,8) convert this point into polar coordinates with 6 >= …
  5. Math - Help with radicals please

    Please show work Simplify rational 1. 4√(a^6 b^13) / 4√(a^2b) 2.√(2x^3 / 49y^4) Add or Subtract 3. x√(75xy) - √(27x^3y) Multiply 4.(√(5) - 5) (2√(5) + 2) Rationalize the denominator 5. √(25x^5 …
  6. Math help Ms. Sue please

    1. What is the simplified form of the expression?
  7. Dividing Radicals Problem!!

    Divide the following radical and simplify the answer. ((-3-2√48))/((14√50-8)) A.(24+210√2+64√3+560√6)/(-9736) B.(12+105√2+32√3+280√6)/(-4868) C.(12+105√2+32√3+280√6)/4868 …
  8. Pre-calculus- URGENT

    Convert the rectangular coordinate (-8,i (square root of 3) into polar coordinates. How do I do this?
  9. Algebra

    1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√5-3√80 A.-5√5 B.-4√75 C.-5 D.4√-75 3. Simplify the expression: √21(√3+√14) …
  10. Maths

    Convert the complex no. In polar form : 1-i rcosΘ =1 rsinΘ=-1 r=√a2+b2 r=√(1)2+(-1)2 r=√2 TanΘ=b/a =1/-1 =-1 After all this what i have to do to find out value of Θ?

More Similar Questions