If `1+1/i=A+iB`, then find the value of B.

1.Find the values of - (i)

1.Find the value of i^(-3)

If tan A = (a)/(a + 1) and tan B = (1)/(2a + 1) , then find the value of A + B.

If a=2 and b=3, then find the values of each of the following: (i) a^a+b^b (ii) a^b+b^a (iii) a^b (a/b)^a (iv) (1/a+1/b)^a

If Sigma_( i = 1)^( 2n) sin^(-1) x_(i) = n pi , then find the value of Sigma_( i = 1)^( 2n) x_(i) .

If A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then find the value of a and b .

If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I_3 , then find the values of a and b .

If a = cos theta +theta i sin, "then find the value of" (1+a)/(1-a) .

If a=2 and b=3 then find the values of each of the following (i) a^a + b^b (ii) a^b + b^a (iii) a^b (iv) (a/b)^a (v) (1/a +1/b)^a (vi) (ab)^b

If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)tan^(-1)(d//c)dot