2.倍角公式的变换
(1)因式分解变换
cos 2α=cos2α-sin2α=(cosα+sin α)(cos_α-sin_α).
(2)配方变换
1±sin 2α=sin2α+cos2α±2sinαcos α=(sin α±cos α)2.
(3)升幂缩角变换
1+cos 2α=2cos2α,1-cos2α=2sin2α.
(4)降幂扩角变换
cos2α= (1+cos2α),sin2α= (1-cos2α),sin αcos α=sin 2α.
1.下列各式中,值为的是( )
A.2sin 15°cos 15° B.cos 215°-sin 215°
C.2sin 215° D.sin 215°+cos 215°