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Sagot :
[tex]sin^2(x)cos^2(x)-cos^2(x)\\\\=sin^2(x)\cdot cos^2(x)-1\cdot cos^2(x)\\\\=cos^2(x)\cdot(sin^2(x)-1)\\\\=cos^2(x)\cdot[-(1-sin^2(x)]^{(*)}\\\\=cos^2(x)\cdot[-cos^2(x)]^{(*)}\\\\\boxed{=-cos^4(x)}\\------------------\\(*)\ used:\\\\sin^2(x)+cos^2(x)=1\to cos^2(x)=1-sin^2(x)[/tex]
sinx²(x)cosx²(x) - cosx²(x)
sinx³cosx³ - cosx³
(0.01570731731x³)(0.9998766325x³) - 0.998766325x³
0.01570537954x³ - 0.998766325x³
-0.9841712529x³
sinx³cosx³ - cosx³
(0.01570731731x³)(0.9998766325x³) - 0.998766325x³
0.01570537954x³ - 0.998766325x³
-0.9841712529x³
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