Page 48 - Aeronautical Engineer Data Book

Fundamental dimensions and units 35
cosec x ln | tan 1 3 3 x |
2
2
1
sin x 1 2 3 3 (x – sin 2x)
3 3
2
1
2
cos x 1 3 3 (x + sin 2x)
3 3
2 2
2
sec x tan x
sinh x cosh x
cosh x sinh x
tanh x ln cosh x
sech x 2 arctan e x
cosech x ln | tanh 1 3 3 x|
2
2
sech x tanh x
1 1 x
33 3 3 arctan 3 3 , a ≠ 0
a 2 + x 2 a a
1 a –x
– 3 3 ln 3 a ≠ a
3,
1 2 a a + x
3 3
2
a – x 2 1 x –a
� 3 ln 3 3, a ≠ 0
3
2 a x + a
1 x
33 arcsin 3 3, a ≠ 0
2
(a – x 2 1/2 | a |
)
2 1/2
2
ln [x + (x – a ) ]
1
33
2
(x – a 2 1/2 x
)
�arccosh 3 3 , a ≠ 0
a
2.8.10 Matrices
A matrix which has an array of m 2 n numbers
arranged in m rows and n columns is called an
m 2 n matrix. It is denoted by:
� �
... a 1n
a 11 a 12
... a 2n
a 21 a 22
. ...
.
.
.
. ...
.
. ...
.
a m1 a m2 ... a mn .