Mathematical Table
5
Series Expansion Of Trigonometric And Hyperbolic Functions
3
5
7
2
4
6
x x x
sin x=x−  − .... ,
3! 5! 7!
8
x x x x
cos x=1−  −  −....
2! 4! 6! 8!
3
5
7
9
x
x
x
x
tan x= x 2 17
62
...
3
15
315
2835
3
5
7
x
x
1 x x
cot x= − − −2
−
−....
x 3 45
945 4725
3
5
7
x
x
x
sin x =x  3 5
...
6
40
112
−1
3
5
7
x x x
tan x =x −  − ....
3 5 7

−1
−1
cos x= −sin x
2

−1
−1
cot x= −tan x
2
−1
3
5
7
2
4
6
x x x
sinh x=x   ....
3! 5! 7!
x x x
cosh x=1   ...
2! 4! 6!
3
5
7
x
x
x
sinh x=x− 3 −5
...
6
40
112
−1
3
5
7
x x x
tanh x=x   ...
3 5 7
−1
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