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Question Number 175285 by MathsFan last updated on 26/Aug/22

$$\mathrm{simplfy}$$$$\mathbf{sinh}\left(\mathbf{log}2\right)$$

Answered by MJS_new last updated on 26/Aug/22

$$\sinh x=\frac{{\mathrm{e}}^x-{\mathrm{e}}^{-x}}{2}$$$$\Rightarrow \mathrm{answer}\mathrm{is}\frac{3}{4}$$

Commented by MathsFan last updated on 26/Aug/22

$$\mathrm{can}\mathrm{you}\mathrm{please}\mathrm{expand}\mathrm{it}\mathrm{furter}?$$

Commented by MJS_new last updated on 26/Aug/22

$${\mathrm{e}}^{\ln x}=x$$$${\mathrm{there}}^{\prime }\mathrm{s}\mathrm{nothing}\mathrm{difficult}$$

Answered by MikeH last updated on 26/Aug/22

$$\sinh \left(\ln 2\right)=\frac{e^{\ln 2}-e^{-\ln 2}}{2}=\frac{2-\frac{1}{2}}{2}=\frac{3}{4}$$

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