Hyperbolic Functions and Their Properties

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.

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

What is the value of hyperbolic sine of zero?

• -1

• 1

• 0

• 2

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

What is the value of hyperbolic cosine of zero?

• 2

• -1

• 0

• 1

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

• 2

• 0

• ln(2)

• 1

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

• 1/2

• 1/4

• 2/3

• 3/4

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

What is the value of hyperbolic cotangent of ln(5)?

• 5/6

• 6/5

• 13/12

• 12/13

What is the approximate value of hyperbolic sine of 3?

• 0.0

• 15.0

• 5.0

• 10.0

Why can e to the negative power be ignored in some cases?

• It is very large

• It is very close to zero

• It is always zero

• It is always one