why Maple simplifies 1+sin(x)^2 to 2-cos(x)^2 ?

Question:why Maple simplifies 1+sin(x)^2 to 2-cos(x)^2 ?

Posted: nm 11363 Product: Maple 2025

11 hours ago

Any idea why Maple simplifies 1+sin(x)^2 to 2-cos(x)^2? Leaf count is larger also.

>	interface(version);

>	e1:=1+sin(x)^2;

>	e2:=simplify(e1)

>	MmaTranslator:-Mma:-LeafCount(e1)

>	MmaTranslator:-Mma:-LeafCount(e2)

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