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Popular >

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

f (x) = 4 x^{2} + 28 x + 143

inverse of f(x)=6x-13 inverse

f (x) = 6 x - 13

inverse of ((4x-1))/((2x+3))inverse

\frac{( 4 x - 1 )}{( 2 x + 3 )}

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

f (x) = \frac{5 x}{2 x - 1}

inverse of 1.25x+61 inverse

1.25 x + 61

Frequently Asked Questions (FAQ)

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