IIT JEE , AIEEE Forum - Mathematics , Trignometry

vishwaxlnc

what is arc cos b-arc cos a

deepti_hari

arc cos b-arc cos a =arc cos ba+square root1-b*b square root 1-a*a

rahulvedanta

arc means tan inverse

avinash.sharma

The prefix ?arc? is used to show inverse trigonometric ratios. So

arc cos b-arc cos a  = Cos^-1(b) -Cos^-1(a)

= Cos^-1{ ba + Ö(1-b2) Ö(1-a2)        where  -1<= b,a <=1 and b<=a

or

= -Cos^-1{ ba + Ö(1-b2) Ö(1-a2)        where  -1<=a <=0,  0<=b <=1, and b>=a