AngouriMath

Navigation

← Back to list of members

SolveByWritingARationalFunctionOfTheSecantInTheCosine​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A rational function of the secant of one argument, or of the cosecant, written in the
cosine, or the sine, as one quotient: sec(z)/((a + b sec(z)) (c + d sec(z))^2) is
cos(z)^2/((a cos(z) + b) (c cos(z) + d)^2) wherever the secant is defined, exactly.

Remarks

The half-angle substitution read the secant's spelling into a rational function of the
half-angle tangent that a substitution search expanded past thirty seconds, where the
cosine's is answered in half of one. Only for two sums or more, all below the bar, or beside the
cosine itself. Rubi's 4.5.2.3 and 4.5.4.2.
https://github.com/asc-community/AngouriMath/issues/718

























Angouri © 2019-2023 · Project's repo · Site's repo · Octicons · Transparency · 4862 pages online