As Jimmy Gauvin has already pointed out; no, you should not expect zeros from secant nor cosecant. If you graph them, you should see why. (The minimum absolute value of either of those will be 1.)
Thanks, -- Raul On Tue, Aug 15, 2017 at 8:13 PM, Linda Alvord <[email protected]> wrote: > Thanks Raul. It shows that I haven't used J for any trig in aboug 20 years. > Here is almost what I want. > > > Hoever the cot looks good. Shouldn't there be some 0's in the sec and csc? > > *(%"0)3 2 1 (o."0 1) t > 1 1 1 1 0 _1 _1 _1 _1 1 1 1 0 _1 _1 _1 _1 > 1 1 1 1 1 _1 _1 _1 _1 _1 _1 _1 _1 1 1 1 1 > 1 1 1 1 1 1 1 1 1 _1 _1 _1 _1 _1 _1 _1 _1 > > > > Linda > > > -----Original Message----- > From: Programming [mailto:[email protected]] On Behalf > Of Raul Miller > Sent: Tuesday, August 15, 2017 1:50 PM > To: Programming forum <[email protected]> > Subject: Re: [Jprogramming] Fwd: FW: why are there no negative signs for cot, > sec and csc? > > Or you could do: > > cot=: %@(tan=: 3&o.) > sec=: %@(cos=: 2&o.) > csc=: %@(sin=: 1&o.) > > Thanks, > > -- > Raul > > > On Tue, Aug 15, 2017 at 1:11 PM, Jimmy Gauvin <[email protected]> wrote: >> Hi, >> >> problem is with 4 5 6 which denote the following: >> >> coh=: 4&o. NB. sqrt (1+(y^2)) >> sinh=: 5&o. NB. hyperbolic sine of y >> cosh=: 6&o. NB. hyperbolic cosine of y >> >> see: http://code.jsoftware.com/wiki/Vocabulary/odot#dyadic >> >> There dosen't seem to be specific numbers for cot, sec and csc. >> You have to go by their definition: >> >> [image: \cot \theta ={\frac {\cos \theta }{\sin \theta }}=\tan \left({\frac >> {\pi }{2}}-\theta \right)={\frac {1}{\tan \theta }}] >> >> [image: \sec \theta =\csc \left({\frac {\pi }{2}}-\theta \right)={\frac >> {1}{\cos \theta }}] >> >> [image: \csc \theta =\sec \left({\frac {\pi }{2}}-\theta \right)={\frac >> {1}{\sin \theta }}] >> >> >> >> On Tue, Aug 15, 2017 at 12:41 PM, Linda Alvord <[email protected]> >> wrote: >> >>> >>> >>> Sent from AOL Mobile Mail >>> >>> >>> From: Linda Alvord <[email protected]> >>> Date: Tuesday, August 15, 2017 >>> Subject: FW: why are there no negative signs for cot,sec and csc? >>> Cc: lindaalvord <[email protected]> >>> >>>  >>> >>> >>> >>> >>> >>> >>> >>> From: Linda Alvord [mailto:[email protected]] >>> Sent: Tuesday, August 15, 2017 11:22 AM >>> To: '[email protected]' <[email protected]> >>> Subject: why are there no negative signs for cot,sec and csc? >>> >>> >>> >>> do=: 13 : '({.y) +(i.{:y)*(--/ 2{.y)%<:{:y' >>> >>> t=:do 0 2p1 17 >>> >>> all=:1 2 3 4 5 6 (o."0 1) t >>> >>> *all >>> >>> 0 1 1 1 1 1 1 1 0 _1 _1 _1 _1 _1 _1 _1 0 >>> >>> 1 1 1 1 0 _1 _1 _1 _1 _1 _1 _1 0 1 1 1 1 >>> >>> 0 1 1 1 1 _1 _1 _1 0 1 1 1 1 _1 _1 _1 0 >>> >>> 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 >>> >>> 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 >>> >>> 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 >>> >>> >>> >>> Linda >>> >>> ---------------------------------------------------------------------- >>> For information about J forums see http://www.jsoftware.com/forums.htm >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
