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Popular >

inverse of 2cos(4x-pi)

Solution

inverse

2 cos (4 x - π)

Solution

\frac{arccos ( \frac{x}{2} ) + π}{4}

Solution steps

Solve for

cos (4 x - π), y = 2 cos (4 x - π)

cos (4 x - π) = \frac{y}{2}

cos (a) = b \Rightarrow a = arccos (b)

4 x - π = arccos (\frac{y}{2})

Solve for

x, 4 x - π = arccos (\frac{y}{2})

\frac{arccos ( \frac{y}{2} ) + π}{4}

Substitute

y = x

\frac{arccos ( \frac{x}{2} ) + π}{4}

Popular Examples

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f (x) = \frac{5 x}{x + 4}

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Frequently Asked Questions (FAQ)

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