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Mathematics Test - 13
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  • Question 1/10
    5 / -1
    The function y = sin x is invertible for which of the values of x?
  • Question 2/10
    5 / -1
    What will be the value of \(\sin^{-1} \left( 2 \sin \frac{\pi}{2} \right)\) = ?
  • Question 3/10
    5 / -1
    The principle value of \(\rm \tan^{-1}\left[\cos\left(-{\pi\over2}\right)\right]\)
  • Question 4/10
    5 / -1
    If \(\rm sin (tan^{-1}\ \frac {1}{10} \ + \ cot^{-1} \ x) = 1\) then, find the value of x
  • Question 5/10
    5 / -1

    The value of \(\rm \sec \left(\tan^{-1}\dfrac{y}{2}\right)\) is:

  • Question 6/10
    5 / -1
    Find the domain of the inverse trigonometric function \({\sin ^{ - 1}}\left( {2x\sqrt {1 - {x^2}} } \right)\) is,
  • Question 7/10
    5 / -1

    The graph for the defined domain of sec-1x is drawn as shown. Find the domain and range of the function.

  • Question 8/10
    5 / -1
    The principal value of \(tan^{-1}(-\sqrt3) + 2 sec^{-1}(\frac{2}{\sqrt 3})\) is
  • Question 9/10
    5 / -1
    Simplest form of  cos - 1x + sin - 1(1/2 x) = π/6?
  • Question 10/10
    5 / -1

    The value of \({\sin ^{ - 1}}\sin \left( {\frac{{33{\rm{\pi }}}}{5}} \right)\) is ?

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