New ! Maths MCQ Practise Tests



Inverse Trigonometric Functions Book Back Questions

12th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. The value of sin-1 (cos x), \(0\le x\le\pi\) is

    (a)

    \(\pi-x\)

    (b)

    \(x-\frac{\pi}{2}\)

    (c)

    \(\frac{\pi}{2}-x\)

    (d)

    \(x-\pi\)

  2. If \(\cot ^{-1} x=\frac{2 \pi}{5}\) for some x \(\in\) R, the value of tan-1 x is

    (a)

    \(-\frac{\pi}{10}\)

    (b)

    \(\frac{\pi}{5}\)

    (c)

    \(\frac{\pi}{10}\)

    (d)

    \(-\frac{\pi}{5}\)

  3. The domain of the function defined by \(f(x)=\sin ^{-1} \sqrt{x-1}\) is

    (a)

    [1, 2]

    (b)

    [-1, 1]

    (c)

    [0, 1]

    (d)

    [-1, 0]

  4. \(\tan ^{-1}\left(\frac{1}{4}\right)+\tan ^{-1}\left(\frac{2}{9}\right)\) is equal to

    (a)

    \(\frac { 1 }{ 2 } \ { cos }^{ -1 }\left( \frac { 3 }{ 5 } \right) \)

    (b)

    \(\frac { 1 }{ 2 } { sin }^{ -1 }\left( \frac { 3 }{ 5 } \right) \)

    (c)

    \(\frac { 1 }{ 2 } {tan }^{ -1 }\left( \frac { 3 }{ 5 } \right) \)

    (d)

    \({ tan}^{ -1 }\left( \frac { 1}{ 2 } \right) \)

  5. If the function f(x) = sin-1(x- 3), then x belongs to

    (a)

    [-1, 1]

    (b)

    [\(\sqrt2\), 2]

    (c)

    \(\\ \\ \\ \left[ -2,-\sqrt { 2 } \right] \cup \left[ \sqrt { 2 } ,2 \right] \)

    (d)

    \([-2,-\sqrt{2}]\)

  6. 3 x 2 = 6
  7. Find the period and amplitude of y = sin 7x

  8. Find the principal value of
    sec-1\((\frac{2}{\sqrt3})\)

  9. Find the value, if it exists. If not, give the reason for non-existence.
    sin-1(cos\(\pi\))

  10. 3 x 3 = 9
  11. For what value of x, the inequality \(\frac { \pi }{ 2 } <{ cos }^{ -1 }(3x-1)<\pi \) holds?

  12. Solve sin-1 x > cos-1x

  13. Find the value of
    \(cos\left( { sin }^{ -1 }\left( \frac { 4 }{ 5 } \right) -{ tan }^{ -1 }\left( \frac { 3 }{ 4 } \right) \right) \)

  14. 2 x 5 = 10
  15. Find the principal value of cos−1\(\left( \frac { \sqrt { 3 } }{ 2 } \right) \)

  16. Find the principal value of
    sec−1(−2).

*****************************************

Reviews & Comments about 12th Standard Maths - Inverse Trigonometric Functions Book Back Questions

Write your Comment