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

If a ,\ b ,\ c >0 such that a+b+c=a b c , find the value of tan^(-1)a+tan^(-1)b+tan^(-1)c .

In a DeltaABC , if b=sqrt(3)+1, c=sqrt(3)-1 and A=60^(@) , then the value of tan.(B-C)/(2) is

If A+B=60^(@), then find the value of (1+sqrt(3)tan A)(1+sqrt(3)tan B)

"If A"= ({:(2, 3),(5, 1):}), B = ({:(a, b),(c, d):}) and AB = -13I, then find the value of a + b - c + d. (a) 5 (b) 3 (c) 2 (d) 1

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(nvecoo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

what is the value of i^(-35)+i^7 ? (a) 1 (b) 3 (c) 0 (d) 2

If a,b,c be positive real numbers and the value of theta=tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sqrt((b(a+b+c))/(ca))+tan^(-1)sqrt((c(a+b+a))/((ab))) then tan theta is equal to