1.若角α的终边落在直线x+y=0上,则sin α1-sin2α+1-cos2αcos α的值等于( ) a.2 b.-2 c.2或-2 d.0 解析:选d.∵α的终边落在直线y=-x上,∴tan α=-1,原式=sin α|cos α|+|sin α|cos α. ①当α在第二象限时,原式=-tan α+tan α=0; ②当α在第四象限时,原式=tan α-tan α=0. 2.已知sin α+cos α=33,则tan α+1tan α=________. 解析:将等式sin α+cos α=33两边平方,