" 5."cos^(-1)(-(1)/(2))

If |z-25i|le15 , then |maximum arg(z) - minimum arg(z)| equals (A) (pi)/(2)+cos^(-1)((3)/(5)) (B) sin^(-1)((3)/(5))-cos^(-1)((3)/(5)) (C) 2cos^(-1)((4)/(5)) (D) 2cos^(-1)((1)/(5))

Prove that cos^(-1)((3)/(5))+cos^(-1)((12)/(13))+cos^(-1)((63)/(65))=(pi)/(2)

cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

cos[2cos^(-1)((1)/(5))+sin^(-1)((1)/(5))] =

cos^(-1)((3)/(5))+cos^(-1)((4)/(5))=(pi)/(2)

cos[2(tan^(-1)((1)/(5))+tan^(-1)5)] = ________.

Prove that 2sin^(-1)((3)/(5))-cos^(-1)((5)/(13))=cos^(-1)((323)/(325))

The value of tan[ cos^(-1) ((4)/(5)) + tan^(-1) ((2)/(5)) ] will be