数学之美团为你解答
cosa = 1/7,sina = 4√3 /7
cos(a+b) = cosacosb - sinasinb
= 1/7 cosb - 4√3 /7 sinb
= - 11/14
cosb - 4√3 sinb = - 11/2
(cosb)^2 + (sinb)^2 = 1
联立解得 cosb = 1/2 (另一解舍去)
数学之美团为你解答
cosa = 1/7,sina = 4√3 /7
cos(a+b) = cosacosb - sinasinb
= 1/7 cosb - 4√3 /7 sinb
= - 11/14
cosb - 4√3 sinb = - 11/2
(cosb)^2 + (sinb)^2 = 1
联立解得 cosb = 1/2 (另一解舍去)