[" 21.Eet thiffer (i) "sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x],[" fus aifore (ii) "tan(2tan^(-1)x)=2tan(tan^(-1)x+]

tan(sin^(-1)x+cos^(-1)x)

Solve : tan(cos^(-1) x) = sin (tan^(-1) 2)

Solve : tan(cos^(-1) x) = sin (tan^(-1) 2)

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

Prove that tan(2tan^(-1)x)=2tan(tan^(-1)x+tan^(-1)x^(3))

Range of sin^(-1)x+cos^(-1)x+tan^(-1)x is

Evaluate: (i) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x>0( ii) cot(tan^(-1)a+cot^(-1)a)

tan (sin ^(-1)x+sin ^(-1) y) +tan (cos^(-1)x+cos ^(-1)y)

Solve for x : (i) tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)""8/31 (ii) tan^(-1)(2+x)+tan^(-1)(2-x)=tan^(-1)""2/3 (iii) cos(sin^(-1)x)=1/9 (iv) cos(2sin^(-1)x)=1/9