arccos-1等于π,arccos-1⼀2等于2π⼀3,怎么得到的,或者有表格可以拿来参考的?

2025-06-28 09:29:26
推荐回答(1个)
回答1:

arccosx是cosx在[0,π]上的反函数,
所以,可由cosx的函数值反推:
cos0=1 arccos1=0

cos(π/6)=√3/2
arccos(√3/2)=π/6

cos(π/4)=√2/2
arccos(√2/2)=π/4

cos(π/3)=1/2
arccos(1/2)=π/3

cos(π/2)=0
arccos0=π/2

cos(2π/3)=-1/2
arccos(-1/2)=2π/3

cos(3π/4)=-√2/2
arccos(-√2/2)=3π/4

cos(5π/6)=-√3/2
arccos(-√3/2)=5π/6

cosπ=-1
arccos(-1)=π