Difference of Squares of Hyperbolic Cosine and Sine/Mistake
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Source Work
1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics:
- hyperbolic function
Mistake
- The hyperbolic functions satisfy the identity:
- $\sinh^2 \alpha - \cosh^2 \alpha = 1$
Correction
This should read:
- The hyperbolic functions satisfy the identity:
- $\cosh^2 \alpha - \sinh^2 \alpha = 1$
This is demonstrated in Difference of Squares of Hyperbolic Cosine and Sine.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hyperbolic function