> 数学 >
α,β∈(0,π\2),cos(α+β)=12\13,cos(2α+β)=3\5,则cosβ=
人气:371 ℃ 时间:2020-07-09 14:50:29
解答
sin(a+b)=5/13
sin(2a+b)=4/5
cosa
=cos[(2a+b)-(a+b)]
=cos(2a+b)cos(a+b)+sin(2a+b)sin(a+b)
=12/13*3/5+5/13*4/5
=56/65
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版