No zeroes for sec or csc, from the definition: csc A = 1 / (sin A) sec A = 1 / (cos A) cot A = 1 / (tan A)
sin and cos vary from 1 to -1 passing by zero so there is no way of getting a zero from 1/sin or 1/cos tan on the other hand varies from plus infinity to minus infinity so you obtain zeroes from 1/tan when tan is at the limits of its domain 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
