2)сosx=-5/13sinx=√(1-cos²x)=√(1-25/169)=√(144/169)=12/133)cos78cos18+sin78sin18=cos(78-18)=cos60=1/2sin58cos13-cos58sin13=sin(58-13)=sin45=√2/24)sin(x/2)=-1⇒x/2=-π/2+2πn⇒x=-π+4πn2cos²x-cosx-1=0cosx=a2a²-a-1=0D=1+8=9a1=(1-3)/4=-1/2⇒cosx=-1/2⇒x=+-2π/3+2πna2=(1+3)/4=1⇒cosx=1⇒x=2πn5)cos²x+sinx=31-sin²x+8sinx-3=0sin²x-8sinx+2=0sinx=aa²-8a+2=0D=64-8=56a1=(8-2√14)/2=4-√14⇒sinx=4-√14⇒x=(-1)^n*arcsin(4-√14)+πna2=4+√14⇒sinx=4+√14>1 нет решения