What is the value of tanh(0.5) ?

The value of tanh(0.5) is (e^2-2e^{1/2}sqrt(e)+1)/(e^2-1)

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tanh(0.5)

tanh (0.5)

\frac{e ^{2} - 2 e ^{\frac{1}{2}} e + 1}{e ^{2} - 1}

Solution steps

tanh (0.5)

= tanh (\frac{1}{2})

Rewrite using trig identities:

\frac{e ^{2} - 2 e ^{\frac{1}{2}} e + 1}{e ^{2} - 1}

= \frac{e ^{2} - 2 e ^{\frac{1}{2}} e + 1}{e ^{2} - 1}

cos (arctan (\frac{3}{4}) - arccos (\frac{7}{25}))

sin (7 5^{\circ}) - sin (16 5^{\circ})

\frac{1}{cos ( 12 0 ^{\circ} )}

arcsin (\frac{2 5}{5})

\frac{sin ^{3} ( \frac{π}{4} )}{3}

What is the value of tanh(0.5) ?
The value of tanh(0.5) is (e^2-2e^{1/2}sqrt(e)+1)/(e^2-1)