What is the inverse of f(x)=tan((pix)/2) ?

The inverse of f(x)=tan((pix)/2) is (2arctan(x))/pi

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inverse of f(x)=tan((pix)/2)

inverse

f (x) = tan (\frac{π x}{2})

\frac{2 arctan ( x )}{π}

Solution steps

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

\frac{π x}{2} = arctan (y)

Solve for

x, \frac{π x}{2} = arctan (y)

\frac{2 arctan ( y )}{π}

Substitute

y = x

\frac{2 arctan ( x )}{π}

What is the inverse of f(x)=tan((pix)/2) ?
The inverse of f(x)=tan((pix)/2) is (2arctan(x))/pi