二、基本技能·思想·活动经验
1.判断下列说法的正误,对的打“√”,错的打“×”.
(1)两角和与差的正弦、余弦公式中的角α,β是任意的.                                                                           ( √ )
(2)存在实数α,β,使等式sin(α+β)=sin α+sin β成立.                                                                    ( √ )
(3)公式tan(α+β)=可以变形为tan α+tan β=tan(α+β)(1-tan αtan β),且对任意角α,β都成立.                                                      ( × )
(4)当α是第一象限角时,sin=.              ( × )
(5)存在角α,使得sin 2α=2sin α成立                  .( √ )
2.=(  )
A.1                             B.-1 
C.2                             D.-2
A 解析:因为=tan(1°+44°)=tan 45°=1.