答案解析
1.【解析】选D.因为tan240°=tan(180°+60°)=tan60°=3,故答案为D.
2.【解析】选A.原式=1-2(-sin2)(-cos2) 1-2sin2cos2=|sin2-cos2|, ∵sin2>0,cos2<0,∴原式=sin2-cos2. 【变式备选】给出下列各函数值:
①sin(-1 000°);②cos(-2 200°);③tan(-10); 7πsincosπ
10④17πtan
9其中符号为负的有( )
(A)① (B)② (C)③ (D)④ 【解析】选C.sin(-1 000°)=sin80°>0; cos(-2 200°)=cos(-40°)=cos40°>0; tan(-10)=tan(3π-10)<0;
7π7πsincosπ-sin
10107π17π
,sin,tan<0,
17π17π109tantan
99