已知(sin A)^2+(sin B)^2+（sin C)^2=1,且A,B,C均为锐角,求cos Acos Bcos C的最大值

已知sin(a)=2sin(b)求sin(a/2)/sin(b/2)的值. 3 在三角形ABC中,已知（a2+b2）sin（A-B）=（a2-b2）sin(A+B) 求证：ABC是等腰或直角三角形(a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B),(sin^A+sin^B)sin(A-B)=(sin^A-sin^B)sin(A+B) sin^A*(sin(A+B)-sin(A-B))=sin^B*(sin(A-B)+sin(A+B)) sin^A*2c 已知3SIN^2A+2SIN^2B=5SINA,求SIN^2A+SIN^2B范围 【证明】Sin A+sin B=2Sin 22 已知3sin b=sin(2a+b) 求证tan(a+b)=2tana 已知 3sin A = sin (2B +A ),求证 ： tan（A+B)= 2tanB 证明sin(a+b)sin(a-b)=sin^2 a-sin^2 b, 求证:sin(a+b)sin(a-b)=sin^2a-sin^2b 已知sin(A)和sin(B)的值,如何求出sin((A+B)/2)的值,谢谢. 已知sinA=1/5,求2sin(A+B)cosA-sin(2A+B) 已知sin(A+B)=2/3,sin(A-B)=1/5.求tanA/tanB 已知sin(a+b)=1/2,sin（a-b)=1/3,求tana/tanb 三角形ABC中,已知（sin^2 A-sin^2 B-sin^2 C)/(sinB sinC)=1 求A? sin a-sin b等于 已知sin(a+b)等于2/3,sin(a-b0 =1/5,求tana:tanb 已知3sin^2a+2sin^2b-2sina=0,则y=sin^2a+sin^2b的最大值? 关于三角函数的问题 已知3sin^2a+2sin^b=2sina,求sin^2a+sin^b的取值范围 已知3sin²a-2sina+2sin²b=0.试求sin²a+sin²b的取值范围