" 7."2cot^(-1)3+cot^(-1)7=

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

Statement-1: cosec^(-1)(3)/(2)+cos^(-1)(2/3)-2cot^(-1)(1/7)-cot^(-1)7=cot^(-1)7 Statement-2: cos^(-1)x=sin^(-1)((1)/(x)) and for xgt0cot^(-1)x=tan^(-1)((1)/(x))

Statement-1: cosec^(-1)(3)/(2)+cos^(-1)(2/3)-2cot^(-1)(1/7)-cot^(-1)7=cot^(-1)7 Statement-2: cos^(-1)x=sin^(-1)((1)/(x)) and for xgt0cot^(-1)x=tan^(-1)((1)/(x))

Find the sum to n terms cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)21

2 cot ^(-1) 5+cot ^(-1) 7 + 2 cot ^(-1) 8=(pi)/(4)

Find the sum of the series cot^(-1) 7+cot^(-1)13+cot^(-1)21+cot^(-1)31+... to n terms

2cot(cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)) has the value

Prove that cot^(-1) 7 + 2 cot^(-1)3 = pi/4

If S_n=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+....n terms, then