这三个反三角函数数学公式怎么证 证一两个给个思路就行
第二题昨天还是前天做过
1、3同类型，就做 1
arcsinx=α，-π/2<=α<=π/2，cosα=√(1-x^2)
arccosx=β，0<=β<=π，sinβ=√(1-x^2)
-π/2<=α+β<=3π/2
sin(α+β)=sinαcosβ+cosαsinβ=x^2+1-x^2=1
α+β=π/2，arccosx=π/2-arcsinx
第二题昨天还是前天做过
1、3同类型，就做 1
arcsinx=α，-π/2<=α<=π/2，cosα=√(1-x^2)
arccosx=β，0<=β<=π，sinβ=√(1-x^2)
-π/2<=α+β<=3π/2
sin(α+β)=sinαcosβ+cosαsinβ=x^2+1-x^2=1
α+β=π/2，arccosx=π/2-arcsinx