- #1

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## Homework Statement

Given sin x = (e

^{ix}- e

^{-ix}) / 2i,

I want to prove that

arcsin x = -i ln(ix + √1 - x

^{2})

## Homework Equations

I know about the Euler's formula and complex number. But I have never learnt about complex logarithms.

## The Attempt at a Solution

I try to use x = sin y. But it seems not working. How to show that relation?