.化简:
(1) =________;
(2)sin2(-α)-tan(360°-α)tan(-α)-sin(180°-α)cos(360°-α)tan(180°+α)=________;
(3) =________.
sin,cos,tan,从小到大的顺序是________.
若|sin(4π-α)|=sin(π+α),则角α的取值范围是________.
[答案] [2kπ-π,2kπ],(k∈Z)
[解析] ∵|sin(4π-α)|=sin(π+α),
∴|sinα|=-sinα,∴sinα≤0,
∴2kπ-π≤α≤2kπ,k∈Z.
若sin=,则sin=________.
设tan(5π+α)=m(α≠kπ+,k∈Z),则
的值为( )
A. B.
C.-1 D.1
(2010·全国卷Ⅰ理,2)设cos(-80°)=k,那么tan100°=( )
A. B.-
C. D.-