What is the inverse of tan(x)-1/(sqrt(3)) ?

The inverse of tan(x)-1/(sqrt(3)) is arctan(x+(sqrt(3))/3)

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inverse of tan(x)-1/(sqrt(3))

inverse

tan (x) - \frac{1}{3}

arctan (x + \frac{3}{3})

Solution steps

Solve for

tan (x), y = tan (x) - \frac{1}{3}

tan (x) = y + \frac{3}{3}

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

arctan (y + \frac{3}{3})

Substitute

y = x

arctan (x + \frac{3}{3})

What is the inverse of tan(x)-1/(sqrt(3)) ?
The inverse of tan(x)-1/(sqrt(3)) is arctan(x+(sqrt(3))/3)