`4(cot^(- 1)3+c o s e c^(- 1)sqrt(5))=pi`

cot^(-1)3+cosec^(-1)sqrt(5)=

Prove that : (i) tan^(-1) x + cot^(-1)( x+1) = tan^(-1) (x^(2)+x+1) (ii) cot^(-1) 3 + "cosec"^(-1) sqrt(5) = pi/4

4(cot^(-1)3+csc^(-1)sqrt(5))=pi

cot^(-1)9+cosec^(-1)(sqrt(41))/(4)=(pi)/(4)

Solve for x : cot^(-1)x+ sin^(-1)( 1/sqrt(5)) = pi/4

Find the principal values of each of the following: (i) "c o s e c"^(-1)(2/(sqrt(3))) (ii) "c o s e c"^(-1)(2cos(2/3pi))

If 2tan^(- 1)(c o s e c(tan^(- 1)(x))-tan(cot^(- 1)(x)))=tan^(- 1)y then y is equal to

Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

If "c o s e c"^(-1)x+"c o s e c"^(-1)y+"c o s e c"^(-1)z=-(3pi)/2 , find the value of x/y+y/z+z/x .

Evaluate each of the following: cos(cot^(-1)(15)/8) (ii) cos(sec^(-1)5/3) (iii) cos("c o s e c"^(-1)(13)/(12))