The value of sin-1223 + sin-113 is
π4
π6
2π3
π2
Solve for x tan-11 - x1 + x = 12tan-1x . x > 0
- 1
3
13
1
If x + 12x3 + x = Ax + Bx + Cx2 + 1, then csc-11A + cot-11B + sec-1C is equal to
5π6
0
B.
Given, x + 12x3 + x = Ax + Bx + Cx2 + 1x + 12x3 + x = x2 + 1 + 2xxx2 + 1 = x2 + 1xx2 + 1 + 2xxx2 + 1 = 1x + 2x2 + 1On comparing, A = 1, B = 0 and C = 2Now, csc-11A + cot-11B + sec-1C= csc-11 + cot-110 + sec-12= π2 + 0 + π3= 5π6
If α ≤ 2sin-1x + cos-1x ≤ β, then
α = 0, β = π
α = - π2, β = π2
α = 0, β = 2π
α = - π2, β = 3π2
The value of sin-1cos53π5 is
3π5
- 3π5
π10
- π10
If 3tan-1x + cot-1x = π, then x is equal to
1/2
The simplified form of tan-1xy - tan-1x - yx + y is equal to
π
If sin-1x + sin-1y = π2, then x2 is equal to
1 - y2
y2
1 - y
The range of sec-1x is
0, π - π2
- π2, π2
0, π
If tan-1x + tan-1y = 4π5, then cot-1x + cot-1y is equal to
2π5
π5