Hyperbolic Functions and Their Properties

Hyperbolic Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.A.2, HSF.BF.B.5

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
,
CCSS.HSF.BF.B.5
This video tutorial explains how to evaluate hyperbolic trigonometric functions, including hyperbolic sine and cosine. It provides step-by-step examples for calculating the hyperbolic sine of zero, ln2, and 3, as well as the hyperbolic cosine of zero and the hyperbolic cotangent of ln5. The video concludes with an approximation method for hyperbolic sine of 3 and offers additional resources for further learning.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for hyperbolic sine of x?

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

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

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

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

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of hyperbolic sine of zero?

-1

1

0

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is hyperbolic cosine of zero calculated?

e^0 - e^(-0) / 2

e^0 + e^(-0) / 2

e^0 / e^(-0) / 2

e^0 * e^(-0) / 2

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of hyperbolic cosine of zero?

2

-1

0

1

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of e raised to the ln(2)?

2

0

ln(2)

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of hyperbolic sine of ln(2)?

1/2

1/4

2/3

3/4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is hyperbolic cotangent of ln(5) expressed?

Hyperbolic cosine over hyperbolic sine

Hyperbolic sine over hyperbolic cosine

Hyperbolic sine times hyperbolic cosine

Hyperbolic cosine minus hyperbolic sine

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