
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 exponential form of hyperbolic cosine?
e^x / e^(-x)
e^x * e^(-x) / 2
e^x + e^(-x) / 2
e^x - e^(-x) / 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the expression e^x + e^(-x) - e^x + e^(-x)?
2e^x
e^x - e^(-x)
0
2e^(-x)
Tags
CCSS.HSF.TF.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to verify the double angle formula for hyperbolic sine?
Sum and difference formulas
Pythagorean identities
Quotient identities
Reciprocal identities
Tags
CCSS.HSF.TF.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of hyperbolic sine of 2x?
cosh(x) - sinh(x)
sinh^2(x) + cosh^2(x)
2 * sinh(x) * cosh(x)
sinh(x) * cosh(x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the identity for hyperbolic sine of negative x?
-sinh(x)
cosh(x)
sinh(x)
-cosh(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the double angle formula for hyperbolic cosine?
cosh^2(x) + sinh^2(x)
2 * cosh(x) * sinh(x)
cosh^2(x) - sinh^2(x)
sinh^2(x) - cosh^2(x)
Tags
CCSS.HSF.TF.A.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the identity for 1 - tanh^2(x)?
coth^2(x)
sinh^2(x)
csch^2(x)
sech^2(x)
Tags
CCSS.HSF.TF.C.8
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