作业153.已知sinα=,则cos(π-2α)=________.4.已知52)6tan(,73)6tan(,则tan(α+β)的值为________.5.已知f(cosx)=cos2x,则f(sin15°)=________.6.若tanα=2,则的值是________.7.函数y=sinx+cosx,x∈的最大值为________.8.若cosα=-,α是第三象限角,则=________.9.已知sinα=,且sinα-cosα>1,则sin2α=________.10.△ABC中,tanA=-2,tanB=,则C=________.11.函数y=的最大值与最小值分别为________.12.若0<α<,-<β<0,31)4cos(,33)24cos(,则)2cos(________.13.已知f(α)=,)2,0(a则f(α)取得最大值时α的值是________.14.已知)34cos(3)34sin()(xxxf则f(1)+f(2)+…+f(2010)+f(2011)=________.1