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

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

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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))

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

Prove that cot^(-1)(3)-cot^(-1)(4)=cot^(-1)(13)

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

Prove that cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3