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10 cards from this deck
sinhx=12(ex−e−x)\sinh x = \frac{1}{2}(e^x - e^{-x})sinhx=21(ex−e−x)
coshx=12(ex+e−x)\cosh x = \frac{1}{2}(e^x + e^{-x})coshx=21(ex+e−x)
tanhx=ex−e−xex+e−x\tanh x = \frac{e^x - e^{-x}}{e^x + e^{-x}}tanhx=ex+e−xex−e−x
ln(x+x2+1)\ln(x + \sqrt{x^2 + 1})ln(x+x2+1)
ln(x+x2−1)\ln(x + \sqrt{x^2 - 1})ln(x+x2−1) for x≥1x \geq 1x≥1
12ln(1+x1−x)\frac{1}{2}\ln\left(\frac{1+x}{1-x}\right)21ln(1−x1+x), −1<x<1-1 < x < 1−1<x<1
cosh2x−sinh2x≡1\cosh^2 x - \sinh^2 x \equiv 1cosh2x−sinh2x≡1
1−tanh2x≡sech2x1 - \tanh^2 x \equiv \text{sech}^2 x1−tanh2x≡sech2x
sinh2x≡2sinhxcoshx\sinh 2x \equiv 2\sinh x \cosh xsinh2x≡2sinhxcoshx
cosh2x≡cosh2x+sinh2x\cosh 2x \equiv \cosh^2 x + \sinh^2 xcosh2x≡cosh2x+sinh2x
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