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Popular Functions >

inverse of 4tan(2x)

Solution

inverse

4 tan (2 x)

Solution

\frac{arctan ( \frac{x}{4} )}{2}

Solution steps

Solve for

tan (2 x), y = 4 tan (2 x)

tan (2 x) = \frac{y}{4}

tan (a) = b \Rightarrow a = arctan (b)

2 x = arctan (\frac{y}{4})

Solve for

x, 2 x = arctan (\frac{y}{4})

\frac{arctan ( \frac{y}{4} )}{2}

Substitute

y = x

\frac{arctan ( \frac{x}{4} )}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 4tan(2x) ?
The inverse of 4tan(2x) is (arctan(x/4))/2