MCQ on Inverse Trigonometric functions
3 months ago
pratimanayak
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  • Question 1
    30 seconds
    Q.

    Domain of function   sin1x is\sin^{-1}x\ is  

    answer choices

     [π2,π2]\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     (1,1)\left(-1,1\right)  

     [1,1]\left[-1,1\right]  

  • Question 2
    30 seconds
    Q.

    Domain of function   cos1x is\cos^{-1}x\ is  

    answer choices

     [π2,π2]\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     (1,1)\left(-1,1\right)  

     [1,1]\left[-1,1\right]  

  • Question 3
    30 seconds
    Q.

    Range of function   sin1x is\sin^{-1}x\ is  

    answer choices

     [π2,π2]\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     (1,1)\left(-1,1\right)  

     [1,1]\left[-1,1\right]  

  • Question 4
    30 seconds
    Q.

    Range of function   cos1x is\cos^{-1}x\ is  

    answer choices

     [π2,π2]\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     (1,1)\left(-1,1\right)  

     [1,1]\left[-1,1\right]  

  • Question 5
    30 seconds
    Q.

    Domain of function   tan1x is\tan^{-1}x\ is  

    answer choices

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     (1,1)\left(-1,1\right)  

     [1,1]\left[-1,1\right]  

  • Question 6
    30 seconds
    Q.

    Domain of function   cot1x is\cot^{-1}x\ is  

    answer choices

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     [0,π]\left[0,\pi\right]  

     [1,1]\left[-1,1\right]  

  • Question 7
    30 seconds
    Q.

    Range  of function   cot1x is\cot^{-1}x\ is  

    answer choices

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

     [0,π]\left[0,\pi\right]  

     (0,π)\left(0,\pi\right)   

  • Question 8
    30 seconds
    Q.

    Range  of function   tan1x is\tan^{-1}x\ is  

    answer choices

     (π2,π2)\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

      R{π2}R-\left\{\frac{\pi}{2}\right\}  

     [π2,π2]\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

  • Question 9
    30 seconds
    Q.

     The value of sin1x+cos1x,     x[1,1]The\ value\ of\ \sin^{-1}x+\cos^{-1}x,\ \ \ \ \ x∈[-1,1]  

    answer choices

     =1=1  

     =π2=\frac{\pi}{2}  

     =π=\pi  

     =0  

  • Question 10
    30 seconds
    Q.

     tan1x+cot1x=π/2 when\tan^{-1}x+\cot^{-1}x=π/2\ when  

    answer choices

     x[π2,π2]x∈\left[-\frac{\pi}{2},\frac{\pi}{2}\right]  

     xRx\in R  

     x+Rx\in+R  

     x(π2,π2)x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)  

  • Question 11
    30 seconds
    Q.


     For  x[1,1], sin1(x)=For\ \ x∈[-1,1],\ \sin^{-1}(-x)=  

    answer choices

     sin1(x),   –\sin^{-1}(x),\ \ \   

     πsin1(x),   \pi-\sin^{-1}(x),\ \ \   

     π + sin1x\pi\ +\ \sin^{-1}x  

     sin1x\sin^{-1}x  

  • Question 12
    30 seconds
    Q.

     The value of sin1(12) isThe\ value\ of\ \sin^{-1}\left(\frac{1}{2}\right)\ is  

    answer choices

     π3\frac{\pi}{3}  

     π6\frac{\pi}{6}  

     π3-\frac{\pi}{3}  

     π6-\frac{\pi}{6}  

  • Question 13
    30 seconds
    Q.

     The value of sin1(12) isThe\ value\ of\ \sin^{-1}\left(-\frac{1}{2}\right)\ is  

    answer choices

     π3\frac{\pi}{3}  

     π6\frac{\pi}{6}  

     π3-\frac{\pi}{3}  

     π6-\frac{\pi}{6}  

  • Question 14
    30 seconds
    Q.

     The value of  cos1(32) isThe\ value\ of\ \ \cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\ is  

    answer choices

     π3\frac{\pi}{3}  

     π6\frac{\pi}{6}  

     π3-\frac{\pi}{3}  

     π6-\frac{\pi}{6}  

  • Question 15
    30 seconds
    Q.

     The value of  cos1(32) isThe\ value\ of\ \ \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\ is  

    answer choices

     5π6\frac{5\pi}{6}  

     5π6-\frac{5\pi}{6}  

     π6\frac{\pi}{6}  

     π6-\frac{\pi}{6}  

  • Question 16
    30 seconds
    Q.


     cos1cos 13π6 =\cos^{-1}\cos\ \frac{13\pi}{6}\ =  

    answer choices

     π6-\frac{\pi}{6}  

     π6\frac{\pi}{6}  

     13π6\frac{13\pi}{6}  

     7π6\frac{7\pi}{6}  

  • Question 17
    30 seconds
    Q.

     tan1tan 9π8\tan^{-1}\tan\ \frac{9\pi}{8}  

    answer choices

     9π8\frac{9\pi}{8}  

     π8\frac{\pi}{8}  

     π8-\frac{\pi}{8}  

     7π8\frac{7\pi}{8}  

  • Question 18
    30 seconds
    Q.

    The principal value branch of sec1x\sec^{-1}x  is

    answer choices

    (0, π)

     [0,π]{π2}\left[0,\pi\right]-\left\{\frac{\pi}{2}\right\} 

      \left[-\frac{\pi}{2},\frac{\pi}{2}\right]  -\left\{0\right\}  

        (0,π){π2}\left(0,\pi\right)-\left\{\frac{\pi}{2}\right\}  

  • Question 19
    30 seconds
    Q.

     The equation tan1x  cot1x = tan1 13 hasThe\ equation\ \tan^{-1}x\ -\ \cot^{-1}x\ =\ \tan^{-1}\ \frac{1}{\sqrt{3}}\ has  

    answer choices

    No solution

    Infinite many solution

    Unique solution

    No solution

  • Question 20
    30 seconds
    Q.

     tan2(sec12)+cot2(cosec13) =\tan^2(\sec^{-1}2)+\cot^2(\operatorname{cosec}^{-1}3)\ =  

    answer choices

    3

    11

    13

    15

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