精心整理《诱导公式》练习一、选择题1、619sin的值等于()A.21B.21C.23D.232.o585sin的值为(A)22(B)22(C)32(D)323.tan600°的值是()A.33B.33C.3D.34.tan690°的值为()A.-33B.33C.3D.35、下列各式不正确的是()A.sin(α+180°)=-sinαB.cos(-α+β)=-cos(α-β)C.sin(-α-360°)=-sinαD.cos(-α-β)=cos(α+β)6、若sin(π+α)+sin(-α)=-m,则sin(3π+α)+2sin(2π-α)等于()A.-mB.-mC.mD.m7.如果A为锐角,21)sin(A,那么)cos(A()A、21B、21C、23D、238、如果).cos(|cos|xx则x的取值范围是()A.)(]22,22[ZkkkB.)()223,22(ZkkkC.)(]223,22[ZkkkD.)()2,2(Zkkk9.已知函数1tansin)(xbxaxf,满足.7)5(f则)5(f的值为()A.5B.-5C.6D.-6精心整理10、sin34·cos625·tan45的值是A.-43B.43C.-43D.43二、填空题1、求值(1)cos210=_________________________5(3)cos()3=_______________________2、cos+cos+cos+cos+cos+cos=三、解答题1、利用诱导公式求下列三角函数值(1)cos22511(2)sin311(3)sin6(4)cos(2040)(5)cos()679(6)cos()67(7)cos()62(7)cos()32、计算:(1)6sin(90)3sin08sin27012cos180(2)10cos2704sin09tan015cos180精心整理2233(3)2costantansincossin2446662252525(4)sincostan()634(5)sin420cos750sin(330)cos(660)(6)tan675tan765tan330tan(690)3、已知3)tan(,求)2sin()cos(4)sin(3)cos(2aaaa的值.精心整理4、若cosα=23,α是第四象限角,求sin(2)sin(3)cos(3)cos()cos()cos(4)的值.5、设sin,(0)()(1)1,(0)xxfxfxx和1cos,()2()1(1)1,()2xxgxgxx求)43()65()31()41(fgfg的值.精心整理