ctg (arcsin1-arcctg2)

Question

ctg (arcsin1-arcctg2)

Answer 1

ctg (arcsin1-arcctg2) 

 

1)arcsin1=x

sinx=1

x=pi/2

 

 

ctg(pi/2  - arcctg2)  =   tg(arcctg2) =   > tg(1/arctg2)=1/2 

 

 

Answer 2

ctg (arcsin 1 - arcctg 2)
 arcsin 1 = pi/2
ctg (arcsin 1 - arcctg 2) = ctg (pi/2 - arcctg 2) = tg (arcctg 2)
 a = arcctg 2, то ctg a = 2 => tg a = 1/ctg a = 1/2.