Răspuns:
[tex]1-sin x- cosx= cos0-cosx-sinx <=> -2sin\frac{0+x}{2}*sin\frac{0-x}{2}-sinx[/tex]
[tex]= -2sin\frac{x}{2}*sin\frac{-x}{2} -sin(2*\frac{x}{2}) <=> -2sin\frac{x}{2}*sin\frac{-x}{2}-2sin \frac{x}{2} *cos \frac{x}{2}[/tex]
[tex]=> -2sin\frac{x}{2}(sin\frac{-x}{2} +cos\frac{x}{2})[/tex]
Explicație pas cu pas: