sin^(-1)(1)/(sqrt(5))+cot^(-1)3

Prove that tan^(-1).(1)/(sqrt2) + sin^(-1).(1)/(sqrt5) - cos^(-1).(1)/(sqrt10) = -pi + cot^(-1) ((1 + sqrt2)/(1 - sqrt2))

Prove that tan^(-1).(1)/(sqrt2) + sin^(-1).(1)/(sqrt5) - cos^(-1).(1)/(sqrt10) = -pi + cot^(-1) ((1 + sqrt2)/(1 - sqrt2))

Prove that tan^(-1).(1)/(sqrt2) + sin^(-1).(1)/(sqrt5) - cos^(-1).(1)/(sqrt10) = -pi + cot^(-1) ((1 + sqrt2)/(1 - sqrt2))

Prove that tan^(-1).(1)/(sqrt2) + sin^(-1).(1)/(sqrt5) - cos^(-1).(1)/(sqrt10) = -pi + cot^(-1) ((1 + sqrt2)/(1 - sqrt2))

Prove: sin^(-1)(1/sqrt5)+cot^(-1)3=pi/4

Sum of series of ^(cot^(-1)(5)/(sqrt(3))+cot^(-1)(9)/(sqrt(3))+cot^(-1)(15)/(sqrt(3))+cot^(-1)(23)/(sqrt(3))+......oo) is equal to

Prove that cos(sin^(-1)((3)/(5)) +cot^(-1)((3)/(2))) =(6)/(5sqrt(13))

Evaluate each of the following: cot^(-1)(1/(sqrt(3)))-cos e c^(-1)(-2)+sec^(-1)(2/(sqrt(3))) cot^(-1){2"cos"(sin^(-1)((sqrt(3))/2))}+ cos e c^(-1)(-2/(sqrt(3)))+2cot^(-1)(-1) tan^(-1)(1/(sqrt(3)))+cot^(-1)(1/(sqrt(3)))+tan^(-1)(sin(-pi/2))

Find the value of tan^(-1)(-1/(sqrt(3)))+cot^(-1)((1)/(sqrt(3))) + tan^(-1)[sin'((-pi)/(2))] .