en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inverse of 2sin(1/3 x)

Solution

inverse

2 sin (\frac{1}{3} x)

Solution

3 arcsin (\frac{x}{2})

Solution steps

Solve for

sin (\frac{1}{3} x), y = 2 sin (\frac{1}{3} x)

sin (\frac{1}{3} x) = \frac{y}{2}

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

\frac{1}{3} x = arcsin (\frac{y}{2})

Solve for

x, \frac{1}{3} x = arcsin (\frac{y}{2})

3 arcsin (\frac{y}{2})

Substitute

y = x

3 arcsin (\frac{x}{2})

Graph

Popular Examples

inverse of f(x)=4x^2+28x+143

inverse of f(x)=6x-13

inverse of f(x)=(5x)/(2x-1)

inverse of 1.25x+61

inverse of f(x)=-1x+5

Frequently Asked Questions (FAQ)

What is the inverse of 2sin(1/3 x) ?
The inverse of 2sin(1/3 x) is 3arcsin(x/2)