Casio FX-9860GII-L-IH User Guide - Page 88
Hyperbolic and Inverse Hyperbolic Functions
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2-4-6 Function Calculations k Hyperbolic and Inverse Hyperbolic Functions • Be sure to specify Comp for Mode in the Setup screen. Example sinh 3.6 = 18.28545536 Operation K6(g)2(HYP)1(sinh)3.6w cosh 1.5 - sinh 1.5 = 0.2231301601 = e-1.5 (Display: -1.5) (Proof of cosh x ± sinh x = e±x) cosh-1 20 = 0.7953654612 15 K6(g)2(HYP)2(cosh)1.51(sinh)1.5w I!-(Ans)w K6(g)2(HYP)5(cosh-1)(20/15)w K6(g)2(HYP)5(cosh-1)$20c15w Determine the value of x when tanh 4 x = 0.88 x = tanh-1 0.88 4 = 0.3439419141 K6(g)2(HYP)6(tanh-1)0.88/4w $K6(g)2(HYP)6(tanh-1)0.88c4w 20050401
20050401
k
Hyperbolic and Inverse Hyperbolic Functions
• Be sure to specify Comp for Mode in the Setup screen.
Example
Operation
sinh 3.6 = 18.28545536
K
6
(
g
)
2
(HYP)
1
(sinh)
3.6
w
cosh 1.5 – sinh 1.5
K
6
(
g
)
2
(HYP)
2
(cosh)
1.5
-
= 0.2231301601
1
(sinh)
1.5
w
=
e
–1.5
(Display: –1.5)
I!-
(Ans)
w
(Proof of cosh
x
±
sinh
x
=
e
±
x
)
cosh
–1
20
= 0.7953654612
<Line>
15
K
6
(
g
)
2
(HYP)
5
(cosh
–1
)
(
20
/
15
)
w
<Math>
K
6
(
g
)
2
(HYP)
5
(cosh
–1
)
$
20
c
15
w
Determine the value of
x
when tanh
4
x
= 0.88
x
=
tanh
–1
0.88
<Line>
4
K
6
(
g
)
2
(HYP)
6
(tanh
–1
)
0.88
/
4
w
= 0.3439419141
<Math>
$
K
6
(
g
)
2
(HYP)
6
(tanh
–1
)
0.88
c
4
w
2-4-6
Function Calculations