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The inverse hyperbolic features are numerous-valued and as in the situation of inverse trigonometric capabilities we limit ourselves This Site to principal values for which they may be considered as single-valued.
e i x = cos x + i this article sin x e − i x = cos Your Domain Name x − i sin x displaystyle start out aligned e^ ix &=cos x+i;sin xe^ -ix &=cos x-i;sin xclose aligned
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The hyperbolic functions can be defined as alternatives of differential equations: The hyperbolic sine and cosine would be the special solution (s, hop over to here c) on the procedure
The size of a hyperbolic angle is twice the area of its hyperbolic sector. The hyperbolic functions may be described regarding the legs of a correct triangle masking this sector.