Solution of the equation?tan-1 (x -1 ) + tan -1x + tan -1 ( x + 1 ) = tan -1 3x is
x = 0
x= ± 1/2
x = ± 1/3
None of these
The principal value of is
If we consider only the principal values of the inverse trigonometric functions, then the value of tan is _______.
29/3
√3/29
3/29
Cos (tan-1x) =
-1/√(1 + x2)
1/√(1 + x2)
1/√(1 - x2)
-1/√(1 - x2)
π/4
π
π/2
sec -1 ( sin x ) is real , if
x ( - ∞, α )
x [ -1, 1 ]
x = ( 2n + 1 ) π/2, n I
x = n π, n I
is equal to ______.
1
-1
0
2π
Let f (x ) = sec-1 x + tan-1 x Then f (x ) is real for
x∈[-1, 1 ]
x∈ R
x∈ (-∞ , -1 ) ∪ [1 , ∞ ]
20
10
