Question

Write the general expression of Euler’s formula.

Answer 1

Write the general expression of Euler’s formula.

The relationship between trigonometric functions and complex exponential functions is established by Euler's formula.

Euler’s formula states that for any real number $x,$

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

Here,

$x$ is areal number, $e$ is a base of natural logarithm, $\sin x,\cos x$ are the trigonometric functions and $i$ is imaginary unit.

Thus, general expression of Euler’s formula is $e^{ix}=\cos x+i\sin x$.