急,在线等已知a向量=(cosα,sinα),b向量=(cosβ
已知a向量=(cα,sinα),b向量=(cosβ,sinβ).若a向量×b向量=4/5,α=π/8,求tan(α+β)的??
cos(a)cos(b)+sin(a)sin(b)=cos(a-b) =4/5; sin(a-b) =+/-3/5; tan(a-b) =+/- 3/4; tan(2a) =1; tan(b+a) = tan(b-a+2a) = (tan(b-a)+tan(2a)/(1-tan(2a)tan(b-a) =7或 1/7