Question

Explain Euler's formula.

Answer 1

Euler’s formula establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

Euler’s formula or Euler’s equation is one of the most fundamental equations in math's and engineering and has a wide range of applications.

Euler’s Formula Equation
Euler’s formula or Euler’s identity states that for any real number x,

$e^{ix}=\cos x+i\sin x$
Where,

x = real number
e = base of natural logarithm
sin x & cos x = trigonometric functions
i = imaginary unit