2-4-4

Function Calculations

kHyperbolic 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

 

=1 3.6 w

 

 

 

 

 

 

 

 

cosh1.5 – sinh1.5

TRIG

 

Func

 

=21.5 )-11.5

= 0.2231301601

 

 

 

 

w

 

 

 

 

 

 

 

 

e–1.5= 0.2231301601*



MATH

Func



e - 1.5 w

cosh–1( 20 )

TRIG

 

Func

 

=@ 20 /15 w or

 

15

 

 

 

 

 

=@)N 20 c

= 0.7953654612

 

 

 

 

15 w

 

 

 

 

 

 

 

 

Solve for x given

TRIG

 

Func

 

=# 0.88 )/4 w or

tanh(4x) = 0.88.

 

 

 

 

)N9=#

x =

tanh–10.88

 

 

 

 

0.88 )c 4 w

4

 

 

 

 

 

 

 

 

 

 

 

 

=0.3439419141

 

 

 

 

 

 

 

 

 

 

 

 

 

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

20050501