Question

1.Найти обл определения f(x)
1)y=cos5x
2)y=sin x/6
3)y=cos 5/x-6
4)y=ctgx
5)y=2/cosx
6)y=$sqrt{2cosx- sqrt{3} }$
7)1/sinx-2sin2x
8)y=5sinx/cos(3/2П-x)

Answer 1

1.  x Є (-беск,+беск)
2.  х Є (-беск,+беск)$4. ; y=ctgx; ,; xne pi n,; nin Z\\5.y=frac{2}{cosx}; ,; cosxne 0; ,; xne frac{pi}{2}+pi n,; nin Z\\6.; y=sqrt{2cosx-sqrt3}; ,; cosx geq frac{sqrt3}{2}; ,; -frac{pi}{6}+2pi n leq x leq frac{pi}{6}+2pi n,nin Z\\7.; y=frac{1}{sinx}-2sin2x; ,; sinxne 0; ,xne pi n,nin Z\\8.; y=frac{5sinx}{cos(frac{3}{2pi}-x)}; ,; cos(frac{3}{2pi}-x)ne 0; ,; xne frac{3-pi ^2}{2pi}-pi n,nin Z$