AngouriMath
SolveACosinePowerOverABinomialInTheSineByCancelling(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
A power of a cosine over a power of k (1 +- sin(y)) , or of a sine over one of
k (1 +- cos(y)) , cancelled where the power above is at least twice the one below:
cos^2 = (1 - sin)(1 + sin) , so cos(y)^m/(k (1 + sin(y)))^n is
cos(y)^(m - 2n) (1 - sin(y))^n/k^n . What else is beside it stays as it is.
Remarks
Rubi's 4.1.10 cos(c + d x)^2/((e + f x)(a + a sin(c + d x))) was declined, and
(1 - sin(c + d x))/(e + f x) is answered in sine and cosine integrals.
https://github.com/asc-community/AngouriMath/issues/718
https://github.com/asc-community/AngouriMath/issues/718
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