第8题怎么写高一数学

2025-02-23 10:39:21
推荐回答(1个)
回答1:

8.
cosB=3/5>0,B为锐角,sinB>0
3/5<√2/2,π/4A=π-B-C,A<3π/4
sinA=5/13<1/2,0又A<3π/4,因此00
sinB=√(1-cos²B)=√[1-(3/5)²]=4/5
cosA=√(1-sin²A)=√[1-(5/13)²]=12/13
cosC=-cos(A+B)
=sinAsinB-cosAcosB
=(5/13)(4/5)-(12/13)(3/5)
=-16/65
cosC的值为-16/65