sin(60)=√3/2, cos(60)=1/2, tan(60)=√3,
sec(60)=2, cot(60)=√3/3.
So, 4/3-4+3/4+1/4=-8/3.
sin2(x)+cos2(x)=1 for all x, therefore 4cot2(60)-sec2(60) has to equal zero. But 4cot2(x)=sec2(x), 4cos2(x)=tan2(x) when 4cos4(x)=sin2(x)=1-cos2(x). So, 4cos4(x)+cos2(x)-1=0, cos2(x)=(-1+√(1+16))/8 (negative value is rejected), cos2(x)=(√17-1)/8=0.39039 approx. cos(x)=0.6248, x=51.33°, not 60°.