Question
Given that $\sinh ^{-1} x=\ln \left\{x+\sqrt{x^{2}+1}\right\}$, determine $\sinh ^{-1}(2+j)$ in the form $a+j b$.
Step 1
We substitute $x$ with $2+j$ to find $\sinh ^{-1}(2+j)$: \[\sinh ^{-1}(2+j)=\ln \left\{(2+j)+\sqrt{(2+j)^{2}+1}\right\}\] Show more…
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Key Concepts
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Given that $\sinh ^{-1} x=\ln \left\{x+\sqrt{x^{2}+1}\right\}$, determine $\sinh ^{-1}(2+i)$ in the form $a+j b$.
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