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Popular Functions >

inverse of-2sin(4x-pi)

Solution

inverse

- 2 sin (4 x - π)

Solution

\frac{arcsin ( - \frac{x}{2} ) + π}{4}

Solution steps

Solve for

sin (4 x - π), y = - 2 sin (4 x - π)

sin (4 x - π) = - \frac{y}{2}

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

4 x - π = arcsin (- \frac{y}{2})

Solve for

x, 4 x - π = arcsin (- \frac{y}{2})

\frac{arcsin ( - \frac{y}{2} ) + π}{4}

Substitute

y = x

\frac{arcsin ( - \frac{x}{2} ) + π}{4}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the inverse of-2sin(4x-pi) ?
The inverse of-2sin(4x-pi) is (arcsin(-x/2)+pi)/4