Add reciprocal trig functions
derivitaandrew opened this issue · 0 comments
derivitaandrew commented
It would be nice to see the addition of the reciprocal trigonometric functions: csc, sec, and cot, as well as their inverses: arccsc, arcsec, and arccot.
This would make formulas easier to enter and results more human-readable. For d(tan(x))
, compare current 1/(cos(x)^2)
to proposed sec(x)^2
.
Also, this would settle the issue of cot(pi/2)
. Since cot(-pi/2)
, cot(pi/2)
, cot(3pi/2)
, etc all equal 0
, we currently have to write custom code to check for this pattern, since the only way to enter cot(pi/2)
in Algebrite would be 1/tan(pi/2)
, which should simplify to 0
, but understandably won't, since tan(pi/2)
is undefined.