求值:(1)sin(4π/3)cos(7π/6)tan(21π/4)(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)要求详细过程
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![求值:(1)sin(4π/3)cos(7π/6)tan(21π/4)(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)要求详细过程](/uploads/image/z/3010266-18-6.jpg?t=%E6%B1%82%E5%80%BC%3A%281%29sin%284%CF%80%2F3%29cos%287%CF%80%2F6%29tan%2821%CF%80%2F4%29%282%29sin%2823%CF%80%2F6%29cos%28-17%CF%80%2F4%29tan%28%CF%80%2F8%29tan%283%CF%80%2F8%29%E8%A6%81%E6%B1%82%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B)
求值:(1)sin(4π/3)cos(7π/6)tan(21π/4)(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)要求详细过程
求值:(1)sin(4π/3)cos(7π/6)tan(21π/4)(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)要求详细过程
求值:(1)sin(4π/3)cos(7π/6)tan(21π/4)(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)要求详细过程
(1)sin(4π/3)cos(7π/6)tan(21π/4)
=sin(π+π/3)cos(π+π/6)tan(5π+π/4)
=-sinπ/3*(-cosπ/6)tanπ/4
=-√3/2*(-√3/2)*1
=3/4
(2)sin(23π/6)cos(-17π/4)tan(π/8)tan(3π/8)
=sin(4π-π/6)cos(-4π-π/4)tan(π/8)tan(3π/8)
=sinπ/6cosπ/4tan(π/8)tan(3π/8)
=1/2*√2/2*1
=√2/4