三角函数诱导公式已知sin(π+α)= -1/2,计算1.sin(5π-α)2.sin(π/2+α)3.cos(α- 3
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三角函数诱导公式
已知sin(π+α)= -1/2,计算
1.sin(5π-α)
2.sin(π/2+α)
3.cos(α- 3π/2)
4.tan(π/2-α)
已知sin(π+α)= -1/2,计算
1.sin(5π-α)
2.sin(π/2+α)
3.cos(α- 3π/2)
4.tan(π/2-α)
![三角函数诱导公式已知sin(π+α)= -1/2,计算1.sin(5π-α)2.sin(π/2+α)3.cos(α- 3](/uploads/image/z/6735595-67-5.jpg?t=%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E8%AF%B1%E5%AF%BC%E5%85%AC%E5%BC%8F%E5%B7%B2%E7%9F%A5sin%28%CF%80%2B%CE%B1%29%3D+-1%2F2%2C%E8%AE%A1%E7%AE%971.sin%285%CF%80-%CE%B1%292.sin%28%CF%80%2F2%2B%CE%B1%293.cos%28%CE%B1-+3)
sin(π+α)= -1/2
-sinα= -1/2
sinα= 1/2
1.sin(5π-α)=sin(π-α)=sinα=1/2
2.sin(π/2+α)=sin( π- π/2-α)=sin( π/2-α)=cosα=√(1-sin²a)=√3/2
3.cos(α- 3π/2)=cos(α- 3π/2+2π)=cos(α+π/2)=cos(π/2-α)=sinα= 1/2
4.tan(π/2-α)=sin(π/2-α)/cos(π/2-α)=cosa/sina=(√3/2)/(1/2)=√3
-sinα= -1/2
sinα= 1/2
1.sin(5π-α)=sin(π-α)=sinα=1/2
2.sin(π/2+α)=sin( π- π/2-α)=sin( π/2-α)=cosα=√(1-sin²a)=√3/2
3.cos(α- 3π/2)=cos(α- 3π/2+2π)=cos(α+π/2)=cos(π/2-α)=sinα= 1/2
4.tan(π/2-α)=sin(π/2-α)/cos(π/2-α)=cosa/sina=(√3/2)/(1/2)=√3
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