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Popular >

tanh(pi/4)

Solution

tanh (\frac{π}{4})

Solution

\frac{( e ^{\frac{π}{2}} - 1 ) ^{2}}{e ^{π} - 1}

+1

Solution steps

tanh (\frac{π}{4})

Use the Hyperbolic identity:

tanh (x) = \frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}}

= \frac{e ^{\frac{π}{4}} - e ^{- \frac{π}{4}}}{e ^{\frac{π}{4}} + e ^{- \frac{π}{4}}}

\frac{e ^{\frac{π}{4}} - e ^{- \frac{π}{4}}}{e ^{\frac{π}{4}} + e ^{- \frac{π}{4}}} = \frac{( e ^{\frac{π}{2}} - 1 ) ^{2}}{e ^{π} - 1}

= \frac{( e ^{\frac{π}{2}} - 1 ) ^{2}}{e ^{π} - 1}

Popular Examples

ln|tan(pi/3)+sec(pi/3)|

ln tan (\frac{π}{3}) + sec (\frac{π}{3})

2sin((3pi)/5)cos((3pi)/5)

2 sin (\frac{3 π}{5}) cos (\frac{3 π}{5})

sin (7.6)

3 \cdot sin (\frac{π}{4})

2sin((2pi)/(11))cos((2pi)/(11))

2 sin (\frac{2 π}{11}) cos (\frac{2 π}{11})

Frequently Asked Questions (FAQ)

What is the value of tanh(pi/4) ?
The value of tanh(pi/4) is ((e^{pi/2}-1)^2)/(e^pi-1)