三角函数 诱导公式专项练习

三角函数 诱导公式专项练习学校:___________姓名:___________班级:___________考号:___________一、单选题1.sin (−600∘)=¿( )A. −❑√32 B. −12 C. 12 D. ❑√322.cos 11 π3得值为( )A. −❑√32 B. −12 C. ❑√32 D. 123.已知sin(30°+α )=❑√32 ,则 cos(60°–α)得值为A. 12 B. −12C. ❑√32 D. –❑√324.已知 cos(π2 +α)=−35 ,且 α ∈(π2 ,π),则tan (α−π )=¿( )A. −34 B. −43 C. 34 D. 435.已知 sin(π－α)＝－23,且 α∈(－π2 ,0),则 tan(2π－α)得值为( )A. 2❑√55 B. －2❑√55 C. ±2❑√55 D. ❑√526.已知cos( π4 −α)=❑√24 ,则sin(α+ π4 )=( )A. −34 B. 14 C. ❑√24 D. ❑√1447.已知sinα=35,π2 <α < 3π2 ,则sin( 7 π2 −α)=¿( )A. 35 B. −35 C. 45 D. −458.已知 tan x=−125, x∈(π2 ,π),则cos ⁡(−x+ 3π2 )=¿( )A. 513 B. - 513 C. 1213 D. -12139.假如cos(π+A)=−12 ,那么sin( π2 + A)=¿A. -12 B. 12 C. 1 D. -110.已知cos(π2 −α)−3cosαsinα−cos (π+α)=2,则tan α=¿( )A. 15 B. −23 C. 12 D. −511.化简cos 480∘得值就是( )A. 12 B. −12 C. ❑√32 D. −❑√3212.cos (−585°)得值就是( )A. ❑√22 B. ❑√32 C. −❑√32 D. −❑√2213.已知角α得终边经过点P(−5,−12),则sin( 3 π2 +α)得值等于¿ ¿A. −513 B. −1213 C. 513 D. 121314.已知cos (π+α)=23,则tan α=¿( )A. ❑√52 B. 2❑√55 C. ±❑√52 D. ± 2 ❑√5515.已知cos α=15 ,−π2 <α<0,则cos( π2 +α)tan(α +π)cos(−α) tan α得值为( )A. 2❑√6 B. −2❑√6 C. −❑√612 D. ❑√61216.已知sinα=13 ,α ∈(π2 ,π) 则cos (−α)=¿ ( )A. 13 B. −13 C. 2❑√23 D. −2❑√2317.已知sin(π+α)=45 ,且α就是第四象限角,则cos(α−2π)得值就是( )A. −35 B. 35 C. ± 35 D. 4518.已知 sin＝,则 cos＝( )A. B. C. － D. －19.已知 cos α＝k,k∈R,α∈,则 sin(π＋α)＝( )A. － B. C. ± D. －k20.＝( )A. sin 2－cos 2 B. sin 2＋cos 2C. ±(sin 2－cos 2) D. cos 2－sin 221.sin585∘得值为A. ❑√22 B. −❑√22 C....