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Beliebt Trigonometrie >

sinh(log_{10}(2)-log_{10}(5))

Lösung

sinh (lo g_{10} (2) - lo g_{10} (5))

Lösung

\frac{e ^{l o g_{10} (2) - l o g_{10} (5)} - e ^{- l o g_{10} (2) + l o g_{10} (5)}}{2}

+1

Dezimale

- 0.40852 \dots

Schritte zur Lösung

sinh (lo g_{10} (2) - lo g_{10} (5))

Hyperbolische Identität anwenden:

sinh (x) = \frac{e ^{x} - e ^{- x}}{2}

= \frac{e ^{l o g_{10} (2) - l o g_{10} (5)} - e ^{- (l o g_{10} (2) - l o g_{10} (5))}}{2}

Vereinfache

= \frac{e ^{l o g_{10} (2) - l o g_{10} (5)} - e ^{- l o g_{10} (2) + l o g_{10} (5)}}{2}

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