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--Copyright The Numerical Algorithms Group Limited 1994.
)set break resume
)spool atansqrt.output
)set message test on
)set message auto off
)clear all
--S 1 of 3
z:=atan sqrt ((1-cos x)/(1+cos x))
--R 
--R
--R              +------------+
--R              |- cos(x) + 1
--R   (1)  atan( |------------ )
--R             \| cos(x) + 1
--R                                                    Type: Expression(Integer)
--E 1
--S 2 of 3
integrate(differentiate(z,x),x)
--R 
--R
--R        x
--R   (2)  -
--R        2
--R                                         Type: Union(Expression(Integer),...)
--E 2
--S 3 of 3
rootSimp(normalize(z))
--R 
--R
--R        x
--R   (3)  -
--R        2
--R                                                    Type: Expression(Integer)
--E 3
)spool
)lisp (bye)