2cos-1x = sin-12x1 - x2 is valid for all values of x satisfying
- 1 ≤ x ≤ 1
0 ≤ x ≤ 1
12 ≤ x ≤ 1
0 ≤ x ≤ 12
If msin-1x = logey, then 1 - x2y'' - xy' is equal to
m2y
- m2y
2y
- 2y
If 3x + 1x - 1x + 3 = Ax - 1 + Bx + 3, sin-1AB is equal to
π2
π3
π6
π4
The number of real solutions of the equation tan-1xx + 1 + sin-1x2 + x + 1 = π2 is
one
four
two
infinitely many
If x + 12x3 + x = Ax + Bx + Cx2 + 1, then sin-1A + tan-1B + sec-1C is equal to
0
5π6
cos2cos-115 + sin-115 is equal to
15
- 265
- 15
32
The value of tan-1xy - tan-1x - yx + y (where, x, y > 0) is
- π4
- π2
A.
tan-1xy - tan-1x - yx + y= tan-1xy - x - yx + y1 + xx - yyx + y ∵ tan-1A - tan-1B = tan-1A - B1 + AB= tan-1x2 + xy - xy + y2xy + y2 + x2 - xy= tan-1x2 + y2x2 + y2= tan-11 = tan-1tanπ4= π4
If y = (tan-1(x)), then (x2 + 1)2y2 + 2x(x2 + 1)y1 is equal to
4
2
1
Given 0 ≤ x ≤ 12, then the value of tansin-1x2 + 1 - x22 - sin-1x is
3
- 1
13
The value of sin2sin-10.8 is equal to
0.48
sin1.2°
sin1.6°
0.96