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3分之7π怎样算?整道题是cos7π/3+tan(-15π/4),我想要计算过程,还有tan225°×cos240°×s

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/12 17:10:42
3分之7π怎样算?
整道题是cos7π/3+tan(-15π/4),我想要计算过程,还有tan225°×cos240°×sin(-60°)×tan(-30°)
(1)cos7π/3+tan(-15π/4)
=cos(2π+π/3)+tan(-4π+π/4)
=cosπ/3+tanπ/4
=1/2+1=3/2
(2)tan225°×cos240°×sin(-60°)×tan(-30°)
=tan(180º+45º)×cos(180º+60º)×(-sin60º)×(-tan30º)
=tan45º×(-cos60º)×(-√3/2)(-√3/3)
=1×(-1/2)×1/2=-1/4
再问: 谢谢你!还想问一下 sin(-π/3)+2sin4π/3+3sin2π/3 谢谢!
再答: sin(-π/3)+2sin4π/3+3sin2π/3 =-sinπ/3+2sin(π+π/3)+3sin(π-π/3) =-sinπ/3-2sinπ/3+3sinπ/3=0