Convert Complex Numbers Between Polar and Rectangular Form
Read this topicExplanations 4
- The distance from a number to 000 is call the absolute value, modulus, or magnitude of the number. Note that this definition is simply a generalization of the definition of abso…
By Sujay Kazi, Caroline K
- ###Looking Back In the previous lesson, we talked about the polar form of a complex number. We saw that the horizontal axis is the real axis and the vertical axis is the imagina…
By Ivan Hu, Anusha Rahman
- (Video) Converting Complex Numbers from Rectangular to Polar Form by Centennial Math Drop-In In this video by Centennial Math Drop-In, you will get a quick example of how to con…
By Anusha Rahman
- Convert Complex Numbers Between Polar and Rectangular Form A complex number can be written in two different ways: rectangular form and polar form. In rectangular form, aaa is th…
By Anusha Rahman
Problems 19
- Convert 6(cos(7π6)+isin(7π6))6(\text{cos}(\frac{7\pi}{6}) + i\text{sin}(\frac{7\pi}{6}))6(cos(67π)+isin(67π)) to rectangular form.
- Convert 1+3i1 + \sqrt{3}i1+3i to polar form.
- What is the rectangular form of 5(cos(3π2)+isin(3π2))5\big(\text{cos}(\frac{3\pi}{2}) + i\text{sin}(\frac{3\pi}{2})\big)5(cos(23π)+isin(23π))?
- Convert 35(cos(π2)+isin(π2))35(\cos(\frac{\pi}{2}) + i\sin(\frac{\pi}{2}))35(cos(2π)+isin(2π)) to rectangular form.
- Convert 22(cos(π4)+isin(π4))22(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))22(cos(4π)+isin(4π)) to rectangular form.
- Convert −3−i-\sqrt{3}-i−3−i to polar form.
- Convert −5i-5i−5i to polar form.
- Convert 1+i1+i1+i to polar form.
- Convert 3−3i3-3i3−3i to polar form.
- Convert 4i4i4i to polar form.
- What is the imaginary part of z=a(cos(b)+isin(b))?z=a(\text{cos}(b)+i\text{sin}(b))?z=a(cos(b)+isin(b))?
- Convert −9-9−9 to polar form.
- Convert 3.53.53.5 to polar form.
- What is the imaginary part of z=a(cos(3π2)+isin(3π2))?z=a(\text{cos}(\frac{3\pi}{2})+i\text{sin}(\frac{3\pi}{2}))?z=a(cos(23π)+isin(23π))?
- Convert −2+23i-2+2\sqrt{3}i−2+23i to polar form.
- Let z=4+2i5.z=4+2i\sqrt{5}.z=4+2i5. Convert c=6−−zzˉc=6-\sqrt{-z\bar{z}}c=6−−zzˉ to polar form.
- Convert z=p2+q2(cos(arctan(pq))+isin(arctan(pq)))z=\sqrt{p^2+q^2}(\text{cos}(\text{arctan}(\frac{p}{q}))+i\text{sin}(\text{arctan}(\frac{p}{q})))z=p2+q2(cos(arctan(qp))+isin(a…
- Convert −1−i-1-i−1−i to polar form.
- What is the rectangular form of 7(cos(π3)+isin(π3))7\big(\text{cos}(\frac{\pi}{3}) + i\text{sin}(\frac{\pi}{3})\big)7(cos(3π)+isin(3π))?