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
D.
tan2tan-115 - π4= tantan-1251 - 125 - π4 ∵ 2tan-1θ = tan-12θ1 - θ2= tantan-11024 - π4= tantan-11024 - tanπ41 + tantan-11024 . tanπ4= 1024 - 11 + 1024 . 1 = 10 - 2424 + 10= - 1434 = - 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
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