1)(- sin π/4*
sin π/6+ Cos π/6- Cos π/3* sin π/6)/ sin π/6=
(- √2/2*1/2+ √3/2-1/4)/1/2= √2+2 √3-1
2)((1+ sinx)(1-
sinx)- Cos^2x)/ Cosx(1+ sinx)=
(1- sin^2x-
Cos^2x)/ Cosx(1+ sinx)=0
3)(- sin π/6*
sin π/3+ Cos π/3- Cos π/4* sin π/3)/ sin π/3=
(-1/2* √3/2+1/2-
√2/2* √3/2)/ √3/2=(- √3-1/4)/ √3/2=0.5-1/2 √3
4) sin^2x+ sin^2xCos^2x+ Cos^4x
/делим почленно на sin^2x=
(Sin^2xCos^2x+
Cos^4x)/ sin^x= Cos^2x/ sin^2x=tg^2x