-1an-1ax+(1)/(2)sec^(-1)bx=(pi)/(4)

tan^(-1)ax+(1)/(2)sec^(-1)bx=(pi)/(4)

Lt_(ntooo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n)+......+sec^(2)""(npi)/(4n)]=

Prove that 2tan^(-1)((1)/(5))+sec^(-1)((5sqrt(2))/(7))+2tan^(-1)((1)/(8))=(pi)/(4)

sec^(-1)(4)+cosec^(-1)(4)=(pi)/2

Evaluate each of the following: sec^(-1)((sec pi)/(3)) (ii) sec^(-1)((sec(2 pi))/(3))( iii) sec^(-1)((sec(5 pi))/(4))

Find the principal values of each of the following: sec^(-1)(2sin(3pi)/4) (ii) sec^(-1)(2tan(3pi)/4)

Find the principal values of each of the following: sec ^(-1)(2(sin(3 pi))/(4))( ii) sec^(-1)(2(tan(3 pi))/(4))

Evaluate each of the following: sec^(-1)(secpi/3) (ii) sec^(-1)(sec(2pi)/3) (iii) sec^(-1)(sec(5pi)/4)

Prove that 2tan^(-1)((1)/(5)) +sec^(-1)((5sqrt(2))/(7)) +2tan^(-1)((1)/(8)) =(pi)/(4) .

Prove that : 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^(-1)""(1)/(8)=(pi)/(4)