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Popular Functions >

inverse of 8sinh(2t)

Solution

inverse

8 sinh (2 t)

Solution

\frac{arcsinh ( \frac{t}{8} )}{2}

Solution steps

Solve for

sinh (2 t), y = 8 sinh (2 t)

sinh (2 t) = \frac{y}{8}

sinh (a) = b \Rightarrow a = arcsinh (b)

2 t = arcsinh (\frac{y}{8})

Solve for

t, 2 t = arcsinh (\frac{y}{8})

\frac{arcsinh ( \frac{y}{8} )}{2}

Substitute

y = t

\frac{arcsinh ( \frac{t}{8} )}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 8sinh(2t) ?
The inverse of 8sinh(2t) is (arcsinh(t/8))/2