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Popular Functions >

inverse of 2cos(4x+pi/2)

Solution

inverse

2 cos (4 x + \frac{π}{2})

Solution

\frac{2 arccos ( \frac{x}{2} ) - π}{8}

Solution steps

Solve for

cos (4 x + \frac{π}{2}), y = 2 cos (4 x + \frac{π}{2})

cos (4 x + \frac{π}{2}) = \frac{y}{2}

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

4 x + \frac{π}{2} = arccos (\frac{y}{2})

Solve for

x, 4 x + \frac{π}{2} = arccos (\frac{y}{2})

\frac{2 arccos ( \frac{y}{2} ) - π}{8}

Substitute

y = x

\frac{2 arccos ( \frac{x}{2} ) - π}{8}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 2cos(4x+pi/2) ?
The inverse of 2cos(4x+pi/2) is (2arccos(x/2)-pi)/8