Inverse Trigonometric Functions One Mark Questions

12th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    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)

    \(\pi-x\)

  2. \({ sin }^{ -1 }\frac { 3 }{ 5 } -{ cos }^{ -1 }\frac { 12 }{ 13 } +{ sec }^{ -1 }\frac { 5 }{ 3 } { -cosec }^{ 1- }\frac { 13 }{ 2 } \)is equal to

    (a)

    2\(\pi\)

    (b)

    \(\pi\)

    (c)

    0

    (d)

    tan-1\(\frac{12}{65}\)

  3. If sin-1 x+sin-1 y+sin-1 z=\(\frac{3\pi}{2}\), the value of x2017+y2018+z2019\(-\frac { 9 }{ { x }^{ 101 }+{ y }^{ 101 }+{ z }^{ 101 } } \)is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  4. If \({ sin }^{ -1 }x-cos^{ -1 }x=\cfrac { \pi }{ 6 } \) then

    (a)

    \(\cfrac { 1 }{ 2 } \)

    (b)

    \(\cfrac { \sqrt { 3 } }{ 2 } \)

    (c)

    \(\cfrac { -1 }{ 2 } \)

    (d)

    none of these

  5. The number of solutions of the equation \({ tan }^{ -1 }2x+{ tan }^{ -1 }3x=\cfrac { \pi }{ 4 } \) 

    (a)

    2

    (b)

    3

    (c)

    1

    (d)

    none

  6. 5 x 1 = 5
  7. cos-1(4x3-3x)

  8. (1)

    \(\cfrac { \pi }{ 2 } \)

  9. \(sin^{ -1 }\left( \cfrac { 1 }{ x } \right) \)

  10. (2)

    \(\pi -{ cos }^{ -1 }x\)

  11. cos-1(-x)

  12. (3)

    3cos-1x

  13. \({ sec }^{ -1 }\left( \cfrac { 2 }{ 3 } \right) +{ cosec }^{ -1 }\left( \cfrac { 2 }{ 3 } \right) \)

  14. (4)

    \(\cfrac { 4 }{ 5 } \)

  15. \(cos\left( { tan }^{ -1 }\left( \cfrac { 3 }{ 4 } \right) \right) \)

  16. (5)

    cosec-1x

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