The value of cot-11 + sinx + 1 - sinx1 + sinx - 1 - sinx is equal to
x3
x4
1
x2
If sin-1x + cot-112 = π2, then value of x will be
0
15
25
32
The value of tan2tan-115 - π4 is
177
- 177
717
- 717
The value of sin-145 + 2tan-123 is
π3
π2
π6
None of these
The value of sin2tan-113 + costan-122 will be
1312
1415
- 1415
1213
tan-1x - 2x - 3 + tan-1x + 2x + 3 = π4, then x = ?
± 12
± 72
± 27
B.
We have,tan-1x - 2x - 3 + tan-1x + 2x + 3 = π4 ∵ tan-1x + tan-1y = tan-1x + y1 - xy⇒ tan-1x - 2x - 3 + x + 2x + 31 - x - 2x - 3x + 2x + 3 = π4⇒ x - 2x + 3 + x + 2x - 3x2 - 9 - x2 + 4 = 1⇒ x2 + x - 6 + x2 - x - 6- 5 = 1⇒ 2x2 - 12 = - 5⇒ x2 = 72⇒ x = ± 72
sec2tan - 12 + cosec2 cot - 13 is equal to
3
10
20
sinh - 1x1 - x2 is equal to
coth - 1x
sinh - 1x
- tanh - 1x
tanh - 1x
If sin-1x - cos-1x = π6, then x is equal to
12
- 12
- 32
sinh-1232 is equal to
log3 + 8
log3 - 8
log2 + 18
log8 + 27