1.
sin2x=-√3/2
0<x<π
0<2x<2π
那么2x=2π-π/3=5π/3或2x=π+π/3=4π/3
所以x=5π/6或x=2π/3
2.
cos(x/2)=1/2 且-π<x<π
-π<x<π
-π/2<x/2<π/2
所以x/2=-π/3或x/2=π/3
所以x=-2π/3或x=2π/3
3.
tan(x+π/6)=√3
x+π/6=kπ+π/3,k∈Z
所以x=kπ+π/6,k∈Z,且x>0
1.
sin2x=-√3/2
0<x<π
0<2x<2π
那么2x=2π-π/3=5π/3或2x=π+π/3=4π/3
所以x=5π/6或x=2π/3
2.
cos(x/2)=1/2 且-π<x<π
-π<x<π
-π/2<x/2<π/2
所以x/2=-π/3或x/2=π/3
所以x=-2π/3或x=2π/3
3.
tan(x+π/6)=√3
x+π/6=kπ+π/3,k∈Z
所以x=kπ+π/6,k∈Z,且x>0