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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Welcome to **nub****trek**.

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

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The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step. continue

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Polar form

`a+ib``=r(cos theta+i sin theta)``=re^(itheta)`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Polar form of a complex number is `r (cos theta + i sin theta)`

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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Complex numbers, ordered pair of real numbers, are alternatively given by modulus and argument. This is the polar form of the complex number.

Starting on learning "Polar Form of Complex Number". ;; Complex numbers, ordered pair of real numbers, are alternatively given by modulus and argument. This is the polar form of the complex number.

While introducing the generic form of complex numbers `a+i b`, it was discussed an equivalent form `r(cos theta + i sin theta)`. A quick revision of the same with complex plane is given here.

A number `a+b i` is equivalently given as `r(cos theta + i sin theta)` where `r = sqrt(a^2+b^2)` and `theta = tan^(-1)(b/a)`. `r(cos theta + i sin theta)` is called the polar form or polar representation of the complex number.

What is the form of complex number given by `r (cos theta + sin theta)`?

- Practice Saying the Answer

The answer is 'Polar form'.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Polar Form: ** A number in the form `a+bi` is equivalently given as

`quad quad = r (cos (theta+ 2n pi) `

`quad quad quad quad + i sin (theta+ 2n pi))`

where `r = sqrt(a^2+b^2)`,

`theta = tan^(-1)(b/a)`.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Convert `1+i` into polar form.

- `2(cos(pi/4)+i sin(pi/4))`
- `sqrt(2)(cos(pi/4)+i sin(pi/4))`
- `cos(pi/4)+i sin(pi/4)`

The answer is '`sqrt(2)(cos(pi/4)+i sin(pi/4))`'

*your progress details*

Progress

*About you*

Progress

While introducing the generic form of complex numbers a+i b, it was discussed an equivalent form r cos theta + i sine theta. A quick revision of the same with complex plane is given here.

A number a+b i is equivalently given as r cos theta + i sine theta; where r = square root a squared plus b squared ; and theta = tan inverse b by a.;; r cos theta + i sine theta is called the polar form or polar representation of the complex number.

Polar form of a complex number is r cos theta + i sine theta.

A number in the form a+b i is equivalently given as r cos theta plus 2 n pi + i sine theta plus 2 n pi; where r = square root a squared plus b squared ; and theta = tan inverse b by a.;;

What is the form of complex number given by r (cos theta + sine theta)?

polar

The answer is 'Polar form'.

C

2

2 cos pi by 4 + i sine pi by 4

square;root

square root 2 cos pi by 4 + i sine pi by 4

cos;cause

cos pi by 4 + i sine pi by 4

The answer is, square root 2 cos pi by 4 + i sine pi by 4