Question 881260
{{{sin^2(x)+ cos(x) +1 =0}}}
{{{(1-cos^2(x))+ cos(x) +1 =0}}}
{{{-cos^2(x)+cos(x)+2=0}}}
{{{cos^2(x)-cos(x)-2=0}}}
{{{u^2-u-2=0}}}
{{{(u-2)(u+1)=0}}}
Two possible solutions:
{{{u-2=0}}}
{{{u=2}}}
{{{cos(x)=2}}}
No solution here.
{{{u+1=0}}}
{{{u=-1}}}
{{{cos(x)=-1}}}
{{{x=pi}}}
However since your solution has to lie with [{{{0}}},{{{2}}}], there is no solution.