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Popular Functions >

inverse of a+arctan(2x+pi)

Solution

inverse

a + arctan (2 x + π)

Solution

\frac{tan ( x - a ) - π}{2}

Solution steps

Solve for

arctan (2 x + π), y = a + arctan (2 x + π)

arctan (2 x + π) = y - a

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

2 x + π = tan (y - a)

Solve for

x, 2 x + π = tan (y - a)

\frac{tan ( y - a ) - π}{2}

Substitute

y = x

\frac{tan ( x - a ) - π}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of a+arctan(2x+pi) ?
The inverse of a+arctan(2x+pi) is (tan(x-a)-pi)/2