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Popular Functions >

inverse of 3sin(2x)

Solution

inverse

3 sin (2 x)

Solution

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

Solution steps

Solve for

sin (2 x), y = 3 sin (2 x)

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

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

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

Solve for

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

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

Substitute

y = x

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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