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6.23.25  Simplifying and expressing preferentially with tangents: trigtan

The trigtan command rewrites trigonometric expressions into expressions where as many trigonometric functions as possible are written in terms of tangents, using the identities sin(x)2+cos(x)2=1, tan(x)=sin(x)/cos(x).


Example.
Input:

trigtan(sin(x)^4+cos(x)^2+1)

Output:

2 tan4x+3 tan2x+2
tan4x+2 tan2x+1

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