2-4-4

Function Calculations

IHyperbolic Functions (sinh, cosh, tanh) and Inverse Hyperbolic Functions (sinh–1, cosh–1, tanh–1)

 

 

 

Problem

Use this keyboard:

 

Operation

 

 

 

 

 

 

 

 

 

mth

abc

cat

2D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

sinh3.6 = 18.28545536

TRIG

 

Func

 

3.6 U

 

 

 

 

 

 

 

 

 

 

cosh1.5 – sinh1.5

TRIG

 

Func

 

1.5  1.5

= 0.2231301601

 

 

 

 

U

 

 

 

 

 

 

 

 

 

 

e–1.5= 0.2231301601*

 

MATH

Func

 

C 1.5 U

–1

20

)

 

TRIG

 

Func

 

20 15 Uor

cosh

(

 

 

 

 

 

 

 

 

 

15

 

 

 

 

 

 

 - 20 A

= 0.7953654612

 

 

 

 

15 U

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solve for x given

TRIG

 

Func

 

0.88 4 Uor

tanh(4x) = 0.88.

 

 

 

 

-

 

tanh–10.88

 

 

 

 

 

x =

 

 

 

 

 

0.88 A 4 U

 

 

 

 

 

 

 

4

 

 

 

 

 

 

 

= 0.3439419141

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

*This problem checks whether coshx M sinhx = eMx. Solving the problem above this one (cosh1.5 – sinh1.5) and comparing it with this problem’s solution shows that they are equal.

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