The value(s) of `x` satisfying the equation `cot^(-1)(x)+cot^(-1)(17-x)=cot^(-1)(3)` is/are (a)4 (b) 3 (c) 12 (d) 13

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

A value of x satisfying the equation "sin"[cot^(-1)(1+x)]="cos"["tan"^(-1)x] is:

Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

The set of values of x satisfying |tan^(-1)x|>=|cot^(-1)x| is

A solution of the equation cot^(-1)2=cot^(-1)x+cot^(-1)(10-x)" where " 1 lt x lt 9 is : (a) 7 (b) 3 (c) 2 (d) 5

cot ^(-1)""x+cot^(-1)""2x=(3pi)/(4)

if cot^(-1)alpha+cot^(-1)beta=cot^(-1)x then x

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

The product of all values of x satisfying the equation sin^(-1)cos((2x^2+10|x|+4)/(x^2+5|x|+3))=cot(cot^(-1)((2-18|x|)/(9|x|)))+x/2i s 9 (b) -9 (c) -3 (d) -1

The product of all values of x satisfying the equation sin^(-1)cos((2x^2+10|x|+4)/(x^2+5|x|+3))=cot(cot^(-1)((2-18|x|)/(9|x|)))+pi/2 is (a)9 (b) -9 (c) -3 (d) -1