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Popular >

inverse of 3tan(2x-pi/3)

Solution

inverse

3 tan (2 x - \frac{π}{3})

Solution

\frac{3 arctan ( \frac{x}{3} ) + π}{6}

Solution steps

Solve for

tan (2 x - \frac{π}{3}), y = 3 tan (2 x - \frac{π}{3})

tan (2 x - \frac{π}{3}) = \frac{y}{3}

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

2 x - \frac{π}{3} = arctan (\frac{y}{3})

Solve for

x, 2 x - \frac{π}{3} = arctan (\frac{y}{3})

\frac{3 arctan ( \frac{y}{3} ) + π}{6}

Substitute

y = x

\frac{3 arctan ( \frac{x}{3} ) + π}{6}

Popular Examples

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Frequently Asked Questions (FAQ)

What is the inverse of 3tan(2x-pi/3) ?
The inverse of 3tan(2x-pi/3) is (3arctan(x/3)+pi)/6