Question

2)cosx= - 0.482
3)tgx=0
4)tgx= - 0.5
5)cosx=0
6)sin2x= -1
7)sinx= - √22
8)sin( x2 - 30°)+1=0
9)cosx=12

Answer 1

2)cosx= - 0.482   x=+(π-arccos(0.482))+πn или x=-(π-arccos(0.482))+πn, n∈Z.

3)tgx=0
x=πn, n∈Z.

4)tgx= - 0.5
x=arctg(-0,5)+πn=-arctg(0,5)+πn, n∈Z.

5)cosx=0
x=π/2+πn, n∈Z.

6)sin2x= -1
2x=π+2πn, x=π/2+πn,n∈Z.

7)sinx= - √22
x=(-1)^(n+1)·π/4+πn,n∈Z.

8)sin( x2 - 30°)+1=0
sin( x2 - 30°)=-1
( x2 - 30°)=π+2πn   x2=π/6 +π+2πn=7π/6+2πn,   x=7π/3+4πn, n∈Z.
9) cosx=12
x1=π/3+2πn ,  x2=-π/3+2πn