The number of real solutions of Tan1 x+Tan 1 (1/y) = Tan1 3 is
A. (1,4)
B. (4,13)
C. (2,1)
D. none of these
The equation Sin-1 x- Cos-1 x=Cos-1 (√3/2) has
A. no solution
B. unique solution
C. infinite number of solutions
D. none
The ascending order of A= Sin-1(sin 8π/7),B= Cos-1(cos 8π/7), ), C=Tan-1(tan 8π/7) is
A. B,A, C
B. B,C,A
C. A,B,C
D. A,C,B
Cos-1(63/65) + 2 Tan-1(1/5) =
A. Tan-1(27/11)
B. Tan-1(16/63)
C. Sin-1(16/65)
D. Sin-1(3/5)
Let Then which one of the following is true
A. I < 2/3 and J > 2
B. I < 2/3 and J < 2
C. I > 2/3 and J > 2
D. I < 2/3 and J > 2
The domain of Cos-1 (2/2+sinx) in [0,2π] is
A. [0,π)
B. [0, π/2]
C. [-2,-1] U[1,2]
D. none
The range of f(x)= Sin-1x-cos-1x + Tan-1x is
A. (0, π)
B. (π/4, 3π/4)
C. (-π/4, π/4)
D. [0, 3π/4]
The domain of f(x)=Tan-1 √x(x+3) + sin-1√x2+3x+1 is
A. (-3, 0)
B. (3, 0)
C. {-3, 0}
D. {0, 3}