已知sin(45°+a)sin(45°-a)=-1/4,0°

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 06:20:18

已知sin(45°+a)sin(45°-a)=-1/4,0°
已知sin(45°+a)sin(45°-a)=-1/4,0°

已知sin(45°+a)sin(45°-a)=-1/4,0°
1,sin(45+a)sin(45-a)
=sin(45+a)cos(45+a)
=1/2sin(90+2a)
=1/2cos(2a)
=-1/4
解得cos(2a)=-1/2;a=60
2,sin(a+10)(1-(根号3)tan(a-10))
=sin70*(1-(根号3)*tan50)
=cos20/cos50*(cos50-(根号3)*sin50)
=2cos20/sin40*(1/2*cos50-(根号3)/2*sin50)
=1/sin20*sin(30-50)
=1/sin20*(-sin20)
=-1;

(1)sin(45°+a)sin(45°-a)=-1/4 sin(45°+a)cos(45°+a)=-1/4
sin(90°+2a)=-1/2 cos2a=-1/2,a=60°
(2)自己动动脑筋p97,例5类似