sin(2x+π/6)=1/2的解集为?

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sin(2x+π/6)=1/2的解集为?sin(2x+π/6)=1/2的解集为?sin(2x+π/6)=1/2的解集为?sin(2x+π/6)=1/22x+π/6=π/6+2kπ或2x+π/6=5π/

sin(2x+π/6)=1/2的解集为?
sin(2x+π/6)=1/2的解集为?

sin(2x+π/6)=1/2的解集为?
sin(2x+π/6)=1/2
2x+π/6=π/6+2kπ 或 2x+π/6=5π/6+2kπ
x=kπ 或 x=π/3+kπ
所以,解集为{x|x=kπ 或 x=π/3+kπ,k∈Z}

2\1=sin(6\π+2kπ) k∈Z
sin(2X+6\π)=2\1
∴2X+6\π=6\π+2kπ
2X=2kπ
X=kπ k∈Z