
Hyperbolic Functions and Identities

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the nature of the hyperbolic sine function?
Odd
Both
Neither
Even
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is true for hyperbolic cosine?
cosh(-x) = -sinh(x)
cosh(-x) = sinh(x)
cosh(-x) = cosh(x)
cosh(-x) = -cosh(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the hyperbolic equivalent of the trigonometric identity cos²x + sin²x = 1?
cosh²x - sinh²x = 1
cosh²x + sinh²x = 0
cosh²x + sinh²x = 1
cosh²x - sinh²x = 0
Tags
CCSS.HSF.TF.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the hyperbolic identity for tangent differ from the trigonometric one?
It uses a division
It uses a multiplication
It uses a minus sign
It uses a plus sign
Tags
CCSS.HSF.TF.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the double angle formula for hyperbolic sine?
sinh²(x) + cosh²(x)
2 sinh(x) cosh(x)
2 sinh²(x)
sinh(x) + cosh(x)
Tags
CCSS.HSF.TF.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to reduce the power of hyperbolic sine?
sinh²(x) = 1 - cosh(2x)/2
sinh²(x) = -1 - cosh(2x)/2
sinh²(x) = 1 + cosh(2x)/2
sinh²(x) = -1 + cosh(2x)/2
Tags
CCSS.HSF.TF.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the sum and difference formulas, how does the sign behave for hyperbolic sine?
The sign is always negative
The sign is inverted
The sign remains the same
The sign is always positive
Tags
CCSS.HSF.TF.C.9
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