1.cos 20°=( )
A.cos 30°cos 10°-sin 30°sin 10°
B.cos 30°cos 10°+sin 30°sin 10°
C.sin 30°cos 10°-sin 10°cos 30°
D.cos 30°cos 10°-sin 30°cos 10°
解析:选B.cos 20°=cos(30°-10°)=cos 30°cos 10°+sin 30°sin 10°.
2.已知α为锐角,β为第三象限角,且cos α=,sin β=-,则cos(α-β)的值为( )
A.- B.-
C. D.
解析:选A.因为α为锐角,且cos α=,所以sin α==.因为β为第三象限角,且sin β=-,所以cos β=-=-,所以cos(α-β)=cos αcos β+sin αsin β=×+×=-.故选A.
3.已知cos=-,则cos x+cos=( )
A.- B.±
C.-1 D.±1