Trigonometric and Exponential form of Complex Numbers

# Trigonometric and Exponential form of Complex Numbers Video Lecture | Mathematical Methods - Physics

## Mathematical Methods

78 videos|18 docs|24 tests

## FAQs on Trigonometric and Exponential form of Complex Numbers Video Lecture - Mathematical Methods - Physics

 1. What is the trigonometric form of a complex number?
Ans. The trigonometric form of a complex number is represented as $re^{i\theta}$, where r is the magnitude of the complex number and $\theta$ is the argument.
 2. How do you convert a complex number from rectangular form to trigonometric form?
Ans. To convert a complex number from rectangular form (a + bi) to trigonometric form, we calculate the magnitude r = $\sqrt{a^2 + b^2}$ and the argument $\theta = \tan^{-1}(\frac{b}{a})$. Then, the trigonometric form is $re^{i\theta}$.
 3. What is the exponential form of a complex number?
Ans. The exponential form of a complex number is represented as $re^{i\theta}$, where r is the magnitude of the complex number and $\theta$ is the argument.
 4. How do you convert a complex number from trigonometric form to exponential form?
Ans. To convert a complex number from trigonometric form (re^{i\theta}) to exponential form, we simply write it in the form $re^{i\theta}$.
 5. What is the relationship between the trigonometric and exponential forms of complex numbers?
Ans. The trigonometric form and exponential form of a complex number are equivalent representations of the same number. They provide different ways to express the magnitude and argument of the complex number.

## Mathematical Methods

78 videos|18 docs|24 tests

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