cos135°=?sin135°=?cos75°=?sin75°=?

来源:百度知道 编辑:UC知道 时间:2024/05/17 03:20:04
要有过程,谢谢!

两角和与差的三角函数公式 万能公式
sin(α+β)=sinαcosβ+cosαsinβ
sin(α-β)=sinαcosβ-cosαsinβ
cos(α+β)=cosαcosβ-sinαsinβ
cos(α-β)=cosαcosβ+sinαsinβ
然后套用公式
cos135°=cos(90°+45°)=cos90°cos45°-sin90°sin45°=-0.707
sin135°=0.707
cos75°=0.259
sin75°=0.966
或者用
sin(2π-α)=-sinα =-sin45°=-0.707
cos(2π-α)=cosα=cos45°=0.707

cos135
=-cos45
=-√2/2

sin135
=sin135
=√2/2

cos75
=cos(45+30)
=cos45cos30-sin45sin30
=(√2/2)(√3/2)-(√2/2)(1/2)
=(√6-√2)/4

sin75
=sin(45+30)
=sin45cos30+cos45sin30
=(√2/2)(1/2)+(√2/2)(√3/2)
=(√6+√2)/4

cos135
=-cos45
=-√2/2

sin135
=sin135
=√2/2

cos75
=cos(45+30)
=cos45cos30-sin45sin30
=(√2/2)(√3/2)-(√2/2)(1/2)
=(√6-√2)/4

sin75
=sin(45+30)
=sin45cos30+cos45sin30
=(√2/2)(1/2)+(√2/2)(√3/2)
=(√6+√2)/4
加分吧

Cos135°=cos(18