2. TRANSCENDENTAL FUNCTIONS
Kinds of transcendental functions:
1.logarithmic and exponential functions
2.trigonometric and inverse trigonometric
functions
3.hyperbolic and inverse hyperbolic functions
Note:
Each pair of functions above is an inverse to
each other.
12. Hyperbolic Functions Trigonometric Functions
Identities: Hyperbolic Functions vs. Trigonometric Functions
sinh 2x = 2 sinh x cosh x
( ) 2/1x2coshxsinh2
−=
( ) 2/1x2coshxcosh2
+=
x
exsinhxcosh =+
x
exsinhxcosh −
=−
( ) 2/x2cos1xcos2
+=
( ) 2/x2cos1xsin2
−=
cos 2x = cos2
x – sin2
x
sin 2x = 2sinx cosx
cosh 2x = cosh2
x +sinh2
x