已知cosa=3⼀5 ,a∈(3π ⼀2 , 2π) ,求cos(a +π⼀3) 的值

2025-02-01 02:59:35
推荐回答(2个)
回答1:

a∈(3π /2 , 2π)

a在第四象限
∴sina<0
sina=-√(1-cos^2a)=-4/5

cos(a+π/3)
=cosacosπ/3-sinasinπ/3
=3/5*1/2-(-4/5)*√3/2
=3/10+4√3/10
=(3+4√3)/10

回答2:

(3-根号30)/10