发布网友 发布时间:2024-10-24 00:00
共3个回答
热心网友 时间:2024-10-31 06:46
sin(π/4+Q)=1/3
sinπ/4cosQ+cosπ/4sinQ=1/3
√2/2(cosQ+sinQ)=1/3 两边平方得:
1/2(cos^2Q+2sinQcosQ+sin^2Q)=1/9
1+sin2Q=2/9
sin2Q=-7/9
热心网友 时间:2024-10-31 06:48
sin(π/4+Q)=1/3
sin2Q
=-cos(π/2+2Q)
=-[1-2sin²(π/4+Q)]
=-[1-2*(1/3)²]
=-(1-2/9)
=-7/9
热心网友 时间:2024-10-31 06:45
sin(π/4+q)=sin45cosq+cos45sinq
=√2/2(cosq+sinq)=1/3
(cosq+sinq)=2/(√2*3)
sin2q=2sinqcosq=(cosq+sinq)^2-sin^2 qcos^2 q
=4/18-1=-7/9