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问题: 两角和与差的正弦、余弦、正切

如果tanxtany=2,tanx-tany=3,那么tan(x-y)的值为( )
(A)3 (B)-3 (C)1 (-1)
我怎么算都是:
1.tan(x-y)= (tanx-tany)/(1+tanxtany) =3/(1+2) =1,答案选B
到底是谁错了?

2.sin(π/12)=√3cos(π/12)的值是( )
(A)-√2 (B) -√2 (C) √2 (D) √3

解答:

(1)相信自己.
(2)sin(π/12)-√3cos(π/12)=2sin(π/12-π/3)=2sin(-π/4)=-√2.