对于D,sin=sin=-sin=-cosθ.
答案:D
5.已知cos=,则sin的值是( )
A. B. C.- D.-
解析:sin=sin=cos=.
答案:A
6.已知函数f(x)=asin(πx+α)+bcos(πx+β)+4,x∈R,且f(2017)=3,则f(2018)的值为( )
A.3 B.4 C.5 D.6
解析:∵f(2017)=asin(2017π+α)+bcos(2017π+β)+4=3,∴asin(2017π+α)+bcos(2017π+β)=-1,
∴f(2018)=asin(2017π+α+π)-bcos(2017π+β+π)+4=
-asin(2017π+α)-bcos(2017π+β)+4=1+4=5.
答案:C
二、填空题(共2小题,每题5分,共10分)
7.求值:(1)cos=________;(2)tan(-225°)=________.
解析:(1)cos=cos=cos=cos=-cos=-.
(2)tan(-225°)=tan(360°-225°)=tan135°=tan(180°-45°)=-tan45°=-1.
答案:(1)- (2)-1
8.已知cosα=,则sin·costan(π-α)=________.
解析:sincostan(π-α)=-cosαsinα(-tanα)=sin2α=1-cos2α=1-2=.
答案:
三、解答题(共2小题,共20分)
9.化简:(1)·sincos;
(2)sin(-α-5π)cos-sincos(α-2π).
解析:(1)原式=·sin(-sinα)=·(