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20050501
k Hyperbolic 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 =2 1.5 )-11.5
= 0.2231301601 w
e
–1.5
= 0.2231301601* 嘷 MATH Func 嘷 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.
)
N
9=#
0.88 )c 4 w
=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.
2-4-4
Function Calculations
x =
tanh
–1
0.88
4
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