Hyperbolic Functions Flashcards
(37 cards)
1
Q
Define sinhx, coshx and tanhx.
A
2
Q
Define cosechx, sechx and cothx.
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3
Q
Sketch y=sinhx
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4
Q
Sketch y=coshx
A
5
Q
y=tanhx
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6
Q
Hyperbolic identities rule.
(Using osborn’s rule)
A
Hyperbolic identities are identical to trig identities but every time sin^2x appears, put a negative in front and turn into hyperbolic.
7
Q
Write hyperbolic identities for these trig identities.
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8
Q
Write double angle hyperbolic identities for these trig identities.
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9
Q
A
10
Q
Differentiate y=sinhx
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11
Q
Differentiate y=coshx
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12
Q
Differentiate y=cosh3x
A
13
Q
Differentiate y=sinhxcoshx
A
14
Q
Differentiate
A
15
Q
Differentiate y=tanhx
A
16
Q
A
17
Q
A
18
Q
Integrate sinh5x .dx
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19
Q
Integrate xcosh2x. dx
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20
Q
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21
Q
A
22
Q
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23
Q
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24
Q
Hyperbolic inverse of y=sinhx
Log form of y=arsinhx
A
25
Solve coshx=4
26
Hyperbolic inverse of y=coshx
Log form of y=arcoshx
27
Hyperbolic inverse y=tanhx
Log form of y=artanhx
28
Solve sinhx=6
29
Solve tanhx=1/2
30
Solve coshx=10
31
Differentiate y=arsinhx
32
Differentiate y=arcoshx
33
Differentiate y=artanhx
34
Sketch y=arsinhx
35
Sketch y=arcoshx
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