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sin990°+cos(-15π/4)-sin(-45°)+cos(7π/4)+tan(-16π/3)=

题目详情
sin990°+cos(-15π/4)-sin(-45°)+cos(7π/4)+tan(-16π/3)=
▼优质解答
答案和解析
sin990°+cos(-15π/4)-sin(-45°)+cos(7π/4)+tan(-16π/3)
=sin(1080-90)°+cos(π/4-4π)+sin45°+cos(2π-π/4)+tan(2π/3-6π)
=sin(-90)°+cosπ/4+sin45°+cos(-π/4)+tan2π/3
=-1+3√2/2-√3