Playlist: https://www.youtube.com/playlist?list=PL3Gnjw2fQSnE6P7bLxwz5PbGixT5dbrrB

Subscribe Here http://goo.gl/2XXaLS

For more cool math videos visit our site at http://mathgotserved.com or http://youtube.com/mathsgotserved

In this tutorial, we go over how to covert complex numbers from rectangular to polar form and the reverse. We show you the strategy steps and algorithm to accomplish the conversion process. The process of converting complex numbers from rectangular to polar form involves first knowing what the two forms are. The rectangular form of complex numbers is x+yi or a+bi and the polar form of complex numbers can be written as r(cos theta + i sin theta) r ( cos θ + i sin θ) you first find r using the pythagorean theorem. the formula r = sqrt ( x^2 + y^2) will help you find the value of r. r is known as the radius. And the angle theta θ is the angle from zero degrees to the graph of the complex number. To find the angle theta θ you use the formula θ=tan ^-1 (y/x) arctan of y divided by x will give you the reference angle. You then have to graph the coordinates and use ASTC to determine the terminal side and find the value of theta θ. The process for going from polar to rectangular is quite different. To accomplish this you have to determine r and theta from the polar form then use x=r cos θ and y=r sin θ to find the real and imaginary parts of the complex number in polar form. The unit circle is also helpful in finding the inverse sine and also evaluating the angles at common angular values. If the angles are not common then the use of a calculator will be necessary in evaluating the sine and cosine functions also the inverse tangent function

Tagged under: law sines,law cosines,vectors,plane,dot,complex numbers,magnitude,direction,geometrically,operations,oblique,AAS,ASA,SSA,ambiguous,component,real,demoivre,+bi,imaginary axis,rcos θ,isin θ,argument,modulus,polar,restricted,quadrant,multiplication,division,powers,root,nth root,theorem θ + sin θ,scalar,cross product,larson,examples,steps, ,python,applications,basics,book,notes,cheat sheet,desmos,equations,arctan

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!