en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=ln(sin(x))

Solution

inverse

f (x) = ln (sin (x))

Solution

arcsin (e^{x})

Solution steps

Solve for

sin (x), y = ln (sin (x))

sin (x) = e^{y}

sin (a) = b \Rightarrow a = arcsin (b)

arcsin (e^{y})

Substitute

y = x

arcsin (e^{x})

Popular Examples

inverse of f(x)=5ln(2x)+3 inverse

f (x) = 5 ln (2 x) + 3

inverse of f(x)=2(5^x-8)inverse

f (x) = 2 (5^{x} - 8)

inverse of y=-1-sqrt(x+3)inverse

y = - 1 - x + 3

inverse of g(x)=(x-1)/2 inverse

g (x) = \frac{x - 1}{2}

inverse of f(x)=\sqrt[5]{(x^3)/9}inverse

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=ln(sin(x)) ?
The inverse of f(x)=ln(sin(x)) is arcsin(e^x)