人教B版数学高中必修第三册同步练习7.2.4 诱导公式

7.2.4 诱导公式A级必备知识基础练1.(多选题)下列函数值中符号为负的是(  )A.sin(-1000°)B.cos10π3C.tan2D.sin52.已知a=tan-7π6,b=cos23π4,c=sin-33π4,则a,b,c的大小关系是(  )A.b>a>cB.a>b>cC.b>c>aD.a>c>b3.(多选题)化简1+2sin(π-2)cos(π-2)的结果是(  )A.sin2-cos2B.|cos2-sin2|C.±(cos2-sin2)D.无法确定4.已知tanα-π6=12,且α∈0,π2,则cos2π3-α=(  )A.-55B.55C.-255D.2555.设tan(5π+α)=m,则sin(α-3π)+cos(π-α)sin(-α)-cos(π+α)的值为     . 6.已知sinα=35,且α是第二象限角,则cos(π-α)+sin(π+α)的值等于    . 7.计算sin510°+cos660°+tan585°=    . 8.已知α是第四象限角,且α的终边在直线y=-2x上. (1)求sinα,cosα和tanα的值;(2)求sin(α-π)cos(3π2-α)sin(π2-α)cos(3π+α)tan(π-α)的值.B级关键能力提升练9.(多选题)已知A=sin(kπ+α)sinα+cos(kπ+α)cosα(k∈Z),则A的值是(  )A.-1B.-2C.1D.210.已知sin(2π+θ)tan(π+θ)tan(3π-θ)cosπ2-θtan(-π-θ)=1,则3sin2θ+3sinθcosθ+2cos2θ的值是(  )A.1B.2C.3D.611.已知tan(π-θ)=3,则sin(π2+θ)-cos(π-θ)sin(π2-θ)-sin(π-θ)=(  )A.-1B.-12C.1D.1212.已知sin(α+π)=45,且sinαcosα