求5π/3的正弦、余弦和正切值在直角坐标系中∠AOB=5π/3.易知∠AOB的终边与单位圆的交点坐标为(1/2,-根号3/2)交点坐标(1/2,-根号3/2)是怎么求的呀?
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![求5π/3的正弦、余弦和正切值在直角坐标系中∠AOB=5π/3.易知∠AOB的终边与单位圆的交点坐标为(1/2,-根号3/2)交点坐标(1/2,-根号3/2)是怎么求的呀?](/uploads/image/z/10766575-55-5.jpg?t=%E6%B1%825%CF%80%2F3%E7%9A%84%E6%AD%A3%E5%BC%A6%E3%80%81%E4%BD%99%E5%BC%A6%E5%92%8C%E6%AD%A3%E5%88%87%E5%80%BC%E5%9C%A8%E7%9B%B4%E8%A7%92%E5%9D%90%E6%A0%87%E7%B3%BB%E4%B8%AD%E2%88%A0AOB%3D5%CF%80%2F3.%E6%98%93%E7%9F%A5%E2%88%A0AOB%E7%9A%84%E7%BB%88%E8%BE%B9%E4%B8%8E%E5%8D%95%E4%BD%8D%E5%9C%86%E7%9A%84%E4%BA%A4%E7%82%B9%E5%9D%90%E6%A0%87%E4%B8%BA%EF%BC%881%2F2%2C-%E6%A0%B9%E5%8F%B73%2F2%EF%BC%89%E4%BA%A4%E7%82%B9%E5%9D%90%E6%A0%87%EF%BC%881%2F2%2C-%E6%A0%B9%E5%8F%B73%2F2%EF%BC%89%E6%98%AF%E6%80%8E%E4%B9%88%E6%B1%82%E7%9A%84%E5%91%80%3F)
求5π/3的正弦、余弦和正切值在直角坐标系中∠AOB=5π/3.易知∠AOB的终边与单位圆的交点坐标为(1/2,-根号3/2)交点坐标(1/2,-根号3/2)是怎么求的呀?
求5π/3的正弦、余弦和正切值
在直角坐标系中∠AOB=5π/3.
易知∠AOB的终边与单位圆的交点坐标为(1/2,-根号3/2)
交点坐标(1/2,-根号3/2)是怎么求的呀?
求5π/3的正弦、余弦和正切值在直角坐标系中∠AOB=5π/3.易知∠AOB的终边与单位圆的交点坐标为(1/2,-根号3/2)交点坐标(1/2,-根号3/2)是怎么求的呀?
5π/3=300度
sin5π/3=-根号3/2
cos5π/3=1/2
tan5π/3=-根号3
单位圆就系以座标原点为圆心以1为半径的圆.
sin5π/3=-根号3/2=y/根号(x^2+y^2)
cos5π/3=1/2=x/根号(x^2+y^2)
两式相除可得y/x==(-根号3/2)/(1/2)
所以座标为(1/2,-根号3/2)