tan70cos10(根3tan20-1)化简

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 04:06:16
tan70cos10(根3tan20-1)化简

tan70cos10(根3tan20-1)化简
tan70cos10(根3tan20-1)
化简

tan70cos10(根3tan20-1)化简
tan70cos10(√3tan20-1)
=tan70cos10(√3sin20/cos20-1)
=tan70cos10((√3sin20-cos20)/cos20)
=tan70cos10(2sin(20-30)/cos20)
=-tan70[2cos10sin10/cos20]
=-tan70[sin20/cos20]
=-cot20tan20
=-1