已知0小于a小于2分之派小于b小于派,sina=3⼀5,cos(a+b)=-4⼀5,sinb=?

2025-05-10 09:52:04
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回答1:

0所以cosa=4/5
cos(a b)=cosacosb-sinasinb=-4/5
cosb4/5-3/5sinb=-4/5
4cosb-3sinb=-4
cosb=(3sinb-4)/4
cos^b=1-sin^2b=(3sinb-4)^2/16
16-16sin^2b=9sin^2b 16-24sinb
24sinb=25sin^2b
sinb不等于0
哪里不清请追问,满意请采纳,谢谢~~
所以sinb=24/25