在三角形abc中,角A,B,C的对边是abc,已知sinC+cosC=1-sin2/C(1)求sinC的值

sinC+cosC=1-sinC/2 sinC=1-sinC/2-cosC 2sinC/2 cosC/2=1-sinC/2-1+2sin^2C/2 2sinC/2 cosC/2=sinC/2 (2sinC/2-1) 2(sinC/2-cosC/2)=1 根据辅助角公式得sin(C/2-π/4)=√2 /4 平方后根据被叫公式得cos(C-π/2)=3/4 ...