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Popular Functions >

inverse of 2arctan(3/u)

Solution

inverse

2 arctan (\frac{3}{u})

Solution

\frac{3}{tan ( \frac{u}{2} )}

Solution steps

Solve for

arctan (\frac{3}{u}), y = 2 arctan (\frac{3}{u})

arctan (\frac{3}{u}) = \frac{y}{2}

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

\frac{3}{u} = tan (\frac{y}{2})

Solve for

u, \frac{3}{u} = tan (\frac{y}{2})

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

Substitute

y = u

\frac{3}{tan ( \frac{u}{2} )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 2arctan(3/u) ?
The inverse of 2arctan(3/u) is 3/(tan(u/2))