α-2-1

Input Ranges

2 Input Ranges

Function

Input range for realInternal

Precision

Notes
number solutions

digits

 

 

 

 

 

 

 

 

 

 

sinx

(DEG) x < 9 (109

 

As a rule,

However, for tanx:

cosx

(RAD) x < 5 107πrad

15 digits

precision is

x 90(2n+1): DEG

tanx

(GRA) x < 1 1010grad

 

±1 at the

x ≠ π/2(2n+1): RAD

 

 

 

 

 

10th digit.*

x 100(2n+1): GRA

sin–1x

x < 1

 

 

 

cos

–1

x

 

 

 

 

 

"

"

 

 

 

 

 

 

tan–1x

x < 1 10100

 

 

 

 

 

 

 

 

sinhx

x < 230.9516564

 

 

Important!

coshx

 

 

• sinh and tanh become

 

"

"

singular points when x = 0.

 

 

 

 

tanhx

x < 1 10100

In this vicinity, errors

 

 

 

 

become cumulative and

 

 

 

 

 

 

accuracy deteriorates.

 

 

 

 

 

sinh–1x

x < 1 10100

 

 

 

 

 

 

 

 

cosh–1x

1< x < 1 10100

"

"

 

tanh–1x

 

 

 

 

x < 1

 

 

 

 

 

 

 

 

logx

1 10–99< x < 1 10100

"

"

• Complex numbers can be

Inx

 

 

 

 

used as arguments.

10x

 

–1 10100 < x < 100

 

 

 

 

 

 

 

 

 

 

ex

 

–1 10100

"

"

• Complex numbers can be

 

< x < 230.2585092

 

 

 

 

 

 

 

used as arguments.

 

 

 

 

 

'x

0 < x < 1 10100

 

 

 

x2

 

x < 1 1050

"

"

• Complex numbers can be

 

 

 

 

 

 

 

 

 

used as arguments.

 

 

 

 

 

 

1/x

 

x < 1 10100, x 0

 

 

 

3'x

x < 1 10100

"

"

• Complex numbers can be

 

 

 

 

 

 

 

 

used as arguments.

 

 

 

 

 

 

 

x!

 

0 < x < 69

"

"

 

 

(x is an integer)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

nPr

 

Result < 1 10100

 

 

 

 

n, r (n and r are integers)

"

"

 

nCr

 

0 < r < n, n < 1 1010

 

 

 

 

 

 

 

 

 

 

20070201