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f(x)=2sin(2x+2A+π/6)+1,A为常数,(1)设∠A,∠B是三角形ABC的内角,若f(B)=0,求∠C

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f(x)=2sin(2x+2A+π/6)+1,A为常数,(1)设∠A,∠B是三角形ABC的内角,若f(B)=0,求∠C
f(x)=2sin(2x+2A+π/6)+1,A为常数,(1)设∠A,∠B是三角形ABC的内角,若f(B)=0,求∠C
f(B)=2sin(2B+2A+π/6)+1=0
sin(2B+2A+π/6)=-1/2=sin7π/6或sin11π/6
2A+2B+π/6=7π/6或11π/6
A+B=π/2或5π/6
C=π-(A+B)=π/2或π/6