Hyperbolic Functions

Question 1

Define cosh(x)

Answer 1

Question 2

Define sinh(x)

Answer 2

Question 3

Define tanh(x)

Answer 3

Question 4

Answer 4

Aka hyperbolic identity for sin^2 + cos^2 = 1

Question 5

Answer 5

Question 6

Answer 6

Question 7

Draw the graph of cosh(x), and what are domain and range?

Answer 7

Question 8

Draw the sinh(x) graph and what are the domain and range

Answer 8

Question 9

Draw the tanh (x) graph and what are the domain and range

Answer 9

Question 10

What do the reciprocal graphs coth, sech and cosech look like?

Answer 10

Question 11

What are the domain and ranges of coth,sech and cosech graphs?

Answer 11

Question 12

How are the following trigonometric identities shown as hyperbolic identities

Answer 12

Wherever there is sin^2 it gets replaced with a negative (Osborne’s rule)

Question 13

Answer 13

Question 14

Answer 14

Question 15

Answer 15

Question 16

Answer 16

Question 17

Answer 17

Yaya

Question 18

Answer 18

Question 19

Answer 19

Question 20

Answer 20

Question 21

Answer 21

Question 22

Answer 22

Never integrate the e always simplify to cosh/ sinh form and then integrate

Question 23

Answer 23

Question 24

What must be done to the domain of cosh(x) to define arcosh(x) ?

Question 25

Answer 25

Question 26

Answer 26

Question 27

What are the restrictions of cosh (x) when defining the arcosh (x) graph?

Answer 27

Question 28

Draw and define

Answer 28

Question 29

Answer 29

Question 30

Derive the logarithmic form of tanh(x)

Answer 30

Question 31

What is special about cosh(x) when solving for solutions?

Answer 31

Graph is symmetrical so have to do +- ln(x) when solving using arcosh(x)

Question 32

Prove the two solutions for arcosh (x)

Answer 32

Question 33

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Question 34

Answer 34

Question 35

Answer 35

Question 36

Compound angle formula with hyperbolic

Answer 36

Question 37

Answer 37

Question 38

What is the derivative of artan(x) ?

Answer 38

NOT GIVEN AND NEED TO KNOW

Question 39

Answer 39