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

 Method (no overloads)

Summary

A function whose argument is a quotient of two linears, (a + b x)/(c + d x), with
that argument written over the denominator: b/d + (a d - b c)/(d (c + d x)), a
constant plus a multiple of the reciprocal of a linear.

Remarks

Rubi's sin((a + b x)/(c + d x)) and its powers were declined, and the hyperbolic
sine and cosine of the same, written in exponentials, likewise, where
sin(a + k/(c + d x)) is answered in sines and cosine integrals and
e^(a + k/(c + d x)) in exponential integrals: those rules read a reciprocal of a
linear, and a quotient of two linears is one plus a constant. Exact: polynomial division,
for d and a d - b c not zero, as everywhere in the integrator.
 The arguments of the sine, cosine, tangent, cotangent, secant and cosecant and the
exponents of the exponential, each written so; the same question in another spelling.
https://github.com/asc-community/AngouriMath/issues/718

























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