问题标题:
高一数学题,求高手,在线等,急~!1、求sin3π/8cosπ/8+cos3π/8sinπ/8的值2、将下列各式表示成一个角的正弦:(1)sin3π/7cos2π/5-cos(-3π/7)sin(-2π/5)(2)cosπ/4sin[α+(π/4)]-sin[(π/4)-α]sinπ/4
问题描述:
高一数学题,求高手,在线等,急~!
1、求sin3π/8cosπ/8+cos3π/8sinπ/8的值
2、将下列各式表示成一个角的正弦:
(1)sin3π/7cos2π/5-cos(-3π/7)sin(-2π/5)
(2)cosπ/4sin[α+(π/4)]-sin[(π/4)-α]sinπ/4
曹树平回答:
①sin3π/8*cosπ/8+cos3π/8*sinπ/8=sin(3π/8+π/8)=sinπ/2=1②原式=sin(3π/7)*cos(2π/5)+cos(3π/7)*sin(2π/5)(化为同角)=sin(3π/7+2π/5)(两角和的正弦公式的逆运用)=sin(29π/35)=sin(6π/35)(互补两角...
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