[" 11.Fिe biste for "],[tan^(-1)a+cot^(-1)(alpha+1)=tan^(-1)(0^(2)+0+1)]

tan^(-1)a+cot^(-1)(a+1)=tan^(-1)(a^(2)+a+1)

sin(cot^(-1)(tan(tan^(-1)x))),x in(0,1]

sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

If alpha in(-(3 pi)/(2),-pi), then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cot alpha) is equal to (a)2 pi+alpha(b)pi+alpha(c)0(d)pi-alpha

Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cos alpha) is equal to

tan(9 0^(@)-cot^(- 1)1/3)=

Find the value of tan^(-1)((1)/(2)tan2A)+tan^(-1)(cot A)+tan^(-1)(cot^(3)A), for 0

Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) =0

Find the value of tan^(-1)((1)/(2)tan2A)+tan^(-1)(cot A)+tan^(-1)(cot^(3)A)