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Popular >

inverse of 4tan(2x)

Solution

inverse

4 tan (2 x)

Solution

\frac{arctan ( \frac{x}{4} )}{2}

Solution steps

Solve for

tan (2 x), y = 4 tan (2 x)

tan (2 x) = \frac{y}{4}

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

2 x = arctan (\frac{y}{4})

Solve for

x, 2 x = arctan (\frac{y}{4})

\frac{arctan ( \frac{y}{4} )}{2}

Substitute

y = x

\frac{arctan ( \frac{x}{4} )}{2}

Popular Examples

inverse of f(x)=ln((x-1)/(x+1))inverse

f (x) = ln (\frac{x - 1}{x + 1})

inverse of f(x)=(-3x+4)/(-2x+9)inverse

f (x) = \frac{- 3 x + 4}{- 2 x + 9}

inverse of f(x)=(x-10)/3 inverse

f (x) = \frac{x - 10}{3}

inverse of f(x)=sqrt(9x+2)inverse

f (x) = 9 x + 2

inverse of f(x)=(4-x)/2 inverse

f (x) = \frac{4 - x}{2}

Frequently Asked Questions (FAQ)

What is the inverse of 4tan(2x) ?
The inverse of 4tan(2x) is (arctan(x/4))/2