Further Maths Hyperbolic Functions

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  • Created by: RockSteel
  • Created on: 31-01-18 11:46
Cosh (x)
=(e^x + e^-x)/2
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Sinh (x)
=(e^x - e^-x)/2
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tanh (x)
=(e^x - e^-x)/(e^x +e^-x) = (e^2x - 1)/(e^2x +1)
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cosh^2 (x)
≡ 1 + sinh^2 (x)
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sinh^2 (x)
≡ 1 + cosh^2 (x)
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arcosh (x)
=ln[ x +√(x^2 - 1) ]
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arsinh (x)
=ln[ x + √(x^2 + 1) ]
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artanh (x)
= 1/2 ln[ (1 + x)/(1 - x) ]
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[arsinh (x) ]/[arcosh (x)]
= {ln[ x + √(x^2 + 1) ]}/{ln[ x + √(x^2 - 1) ]}
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Other cards in this set

Card 2

Front

Sinh (x)

Back

=(e^x - e^-x)/2

Card 3

Front

tanh (x)

Back

Preview of the front of card 3

Card 4

Front

cosh^2 (x)

Back

Preview of the front of card 4

Card 5

Front

sinh^2 (x)

Back

Preview of the front of card 5
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