![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)](/tpl/images/0191/3378/02c57.png)
Simplify
the x is the theta (the zero with the dash/mark through it)
much would be app...
Mathematics, 23.08.2019 16:30 rebtav
Simplify
the x is the theta (the zero with the dash/mark through it)
much would be appreciated for this problem
Answers: 1
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