JEE Questions for Maths Inverse Trigonometric Functions Quiz 1 - MCQExams.com

The greatest and least values of (sin-1χ )2 + (cos-1χ)2 are respectively

  • Maths-Inverse Trigonometric Functions-33556.png
  • 2)
    Maths-Inverse Trigonometric Functions-33557.png

  • Maths-Inverse Trigonometric Functions-33558.png

  • Maths-Inverse Trigonometric Functions-33559.png
The value of sin (2 sin-1 0.is
  • 0.48
  • sin 1.2o
  • sin 1.6o
  • 0.96
If χ > 0, y > 0, z > 0, χy + yz + zχ < 1 and tan-1 χ + tan-1 y + tan-1 z = π, then χ + y + z is equal to
  • 0
  • χyz
  • 3χyz
  • √(χyz)
If we consider only the principle values of the inverse trigonometric functions then the value of
Maths-Inverse Trigonometric Functions-33561.png

  • Maths-Inverse Trigonometric Functions-33562.png
  • 2)
    Maths-Inverse Trigonometric Functions-33563.png

  • Maths-Inverse Trigonometric Functions-33564.png

  • Maths-Inverse Trigonometric Functions-33565.png
tan-1 (√- cot-1 (-√is equal to
  • 0
  • 2√3
  • -(π/2)
  • π
The number of value(s) of χ, in which tan-1 (1/χ) = π tan-1 χ, 0 < χ < 1
  • not defined
  • √3
  • ± 1
  • 0
The value of sin (2 tan-1 χ), |χ| ≤ 1 is
  • 1/χ
  • χ
  • 1/χ2
  • 2χ/ (1 + χ2)
The number of real solutions of
Maths-Inverse Trigonometric Functions-33566.png
  • zero
  • one
  • two
  • infinite

Maths-Inverse Trigonometric Functions-33567.png

  • Maths-Inverse Trigonometric Functions-33568.png
  • 2)
    Maths-Inverse Trigonometric Functions-33569.png

  • Maths-Inverse Trigonometric Functions-33570.png

  • Maths-Inverse Trigonometric Functions-33571.png

  • Maths-Inverse Trigonometric Functions-33572.png

Maths-Inverse Trigonometric Functions-33573.png
  • 1/2
  • 1
  • –1/2
  • -1

Maths-Inverse Trigonometric Functions-33574.png
  • π/2 - θ
  • θ - (π/4)
  • 2θ - (π/2)
  • π/4 - θ
If sin-1 1/3 + sin-1 2/3 = sin-1 χ, then the value of χ is
  • 0
  • 2)
    Maths-Inverse Trigonometric Functions-33576.png

  • Maths-Inverse Trigonometric Functions-33577.png
  • π/2
cot-1 (2.12) + cot-1 (2.22) + cot-1 (2.32) + ... upto ∞ is equal to
  • π/4
  • π/3
  • π/2
  • π/5
If χ takes negative permissible value, then sin-1 χ is equal to

  • Maths-Inverse Trigonometric Functions-33578.png
  • 2)
    Maths-Inverse Trigonometric Functions-33579.png

  • Maths-Inverse Trigonometric Functions-33580.png

  • Maths-Inverse Trigonometric Functions-33581.png
The value of x for which sin (cot –1 (1+ x)) = cos (tan–1 x) is
  • 1/2
  • 1
  • 0
  • –1/2

Maths-Inverse Trigonometric Functions-33582.png

  • Maths-Inverse Trigonometric Functions-33583.png
  • 2)
    Maths-Inverse Trigonometric Functions-33584.png

  • Maths-Inverse Trigonometric Functions-33585.png

  • Maths-Inverse Trigonometric Functions-33586.png

  • Maths-Inverse Trigonometric Functions-33587.png
The value of cos (2 cos-1 0.is
  • 0.48
  • 0.96
  • 0.6
  • None of these

Maths-Inverse Trigonometric Functions-33588.png

  • Maths-Inverse Trigonometric Functions-33589.png
  • 2)
    Maths-Inverse Trigonometric Functions-33590.png

  • Maths-Inverse Trigonometric Functions-33591.png

  • Maths-Inverse Trigonometric Functions-33592.png
If (tan-1 χ)2 + (cot-1 χ )2 = 5π2/8 , then χ is equal to
  • 0
  • 2
  • 1
  • - 1
  • 2√2

Maths-Inverse Trigonometric Functions-33593.png
  • π/4
  • - (π/4)
  • π/2
  • - (π/2)

Maths-Inverse Trigonometric Functions-33594.png

  • Maths-Inverse Trigonometric Functions-33595.png
  • 2)
    Maths-Inverse Trigonometric Functions-33596.png

  • Maths-Inverse Trigonometric Functions-33597.png

  • Maths-Inverse Trigonometric Functions-33598.png

Maths-Inverse Trigonometric Functions-33599.png
  • π/6
  • π/4
  • π/3
  • π/2
The solution of tan-1 2θ + tan-1 3θ = π/4 is
  • 1/√3
  • 1/3
  • 1/6
  • 1/√6

Maths-Inverse Trigonometric Functions-33600.png

  • Maths-Inverse Trigonometric Functions-33601.png
  • 2)
    Maths-Inverse Trigonometric Functions-33602.png

  • Maths-Inverse Trigonometric Functions-33603.png

  • Maths-Inverse Trigonometric Functions-33604.png

Maths-Inverse Trigonometric Functions-33606.png

  • Maths-Inverse Trigonometric Functions-33607.png
  • 2)
    Maths-Inverse Trigonometric Functions-33608.png

  • Maths-Inverse Trigonometric Functions-33609.png

  • Maths-Inverse Trigonometric Functions-33610.png

Maths-Inverse Trigonometric Functions-33611.png
  • π/2
  • π/4
  • π
  • 3π/4

Maths-Inverse Trigonometric Functions-33612.png
  • 3π/10
  • 5π/10
  • 7π/10
  • 9π/10

Maths-Inverse Trigonometric Functions-33613.png
  • √5/3
  • 2√5/3
  • 4√5/9
  • 2√5/9

Maths-Inverse Trigonometric Functions-33614.png

  • Maths-Inverse Trigonometric Functions-33615.png
  • 2)
    Maths-Inverse Trigonometric Functions-33616.png

  • Maths-Inverse Trigonometric Functions-33617.png
  • none
If 2 tan-1 (cos χ) = tan-1 (2 cosec χ ), then the value of χ is
  • 3π/4
  • π/4
  • π/3
  • None of these
0:0:1


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