Normal
pt <=>(3sinx-4sin^3 x)sin^3 x+(4cos^3 x-3cosx)cos^3 x=-1 <=> 3sin^4 x -4sin^6 x+4cos^6 x-3cos^4 x=-1 <=> 3(sin^2 x-cos^2 x)-4(sin^2 x-cos^2 x)(1+sin^2 xcos^2 x)=-1 <=> (sin^2 x-cos^2 x)(3-4-4sin^2 xcos^2 x)=-1 <=> (sin^2 x-cos^2 x)(-1+sin^2 x)=-1 <=> cos 2x.cos^2 2x=-1 <=> cos^3 2x=-1
pt <=>(3sinx-4sin^3 x)sin^3 x+(4cos^3 x-3cosx)cos^3 x=-1
<=> 3sin^4 x -4sin^6 x+4cos^6 x-3cos^4 x=-1
<=> 3(sin^2 x-cos^2 x)-4(sin^2 x-cos^2 x)(1+sin^2 xcos^2 x)=-1
<=> (sin^2 x-cos^2 x)(3-4-4sin^2 xcos^2 x)=-1
<=> (sin^2 x-cos^2 x)(-1+sin^2 x)=-1
<=> cos 2x.cos^2 2x=-1
<=> cos^3 2x=-1