Inverse Trig Functions Flashcards

1
Q

sinh = ?

A

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

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2
Q

cosh = ?

A

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

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3
Q

tanh = ?

A

(e^x - e^-x) / (e^x + e^-x)

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4
Q
sech = ?
coshec = ?
tanh = ?
A

1/sinh
1/cosh
1/tanh or cosh/sinh

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5
Q

cos^2x + sin^2x = 1

hyperbolic form?

A

cosh^2x - sinh^2x = 1

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6
Q

1 + tan^2x = sec^2x

hyperbolic form?

A

1 - tanh^2x = sech^2x

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7
Q
sin2x = ?
sinh2x = ?
A

2sinxcosx

2sinhxcoshx

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8
Q

a) cos2x =

b) cosh2x =

A
a) cos^2x - sin^2x
2cos^2x - 1
1 - 2cos^2x
b) cosh^2x + sinh^2x
2cosh^2x - 1
1 + 2sinh^2x
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