COSH
Syntax |
COSH (x) |
Location |
Hyper, Hyperbola |
This function is defined very similarly to SINH. It can be expressed as:
( EXP(x) + EXP(-x) ) / 2
Example
The COSH function can be used to describe a rope, chain or similar object which has two ends tied at the same height to a ceiling (for instance). Line 110 draws the ceiling, lines 120 to 160 the chain.
100 a = .8: SCALE 10, -5, 0: CLS
110 LINE -2,CHAIN(-2) TO 2,CHAIN(2)
120 FOR x = -2 TO 2 STEP .1
130 y = CHAIN(x)
140 IF x > -2 THEN LINE _x, _y TO x, y
150 _x = x: _y = y
160 END FOR x
170 :
180 DEFine FuNction CHAIN(x)
190 RETurn a * COSH(x/a)
200 END DEFine CHAIN
CROSS-REFERENCE
See SINH for an example.