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Inverse Trigonometric Functions

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Definition, range, domain, principal value branch

Subtopic

Definition, range, domain, principal value branch under Inverse Trigonometric Functions for Grade 12 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate the principal value of cos⁡−1(12)\cos^{-1} \left( \frac{1}{\sqrt{2}} \right):

    A.

    π6\frac{\pi}{6}

    B.

    π3\frac{\pi}{3}

    C.

    π4\frac{\pi}{4}

    D.

    3π4\frac{3\pi}{4}

  2. 2.

    The principal value of sec⁡−1(1)\sec^{-1}(1) is:

    A.

    π\pi

    B.

    π2\frac{\pi}{2}

    C.

    00

    D.

    2π2\pi

  3. 3.

    The domain of the function f(x)=sin⁡−1(x+2)f(x) = \sin^{-1}(x + 2) is:

    A.

    [−3,−1][-3, -1]

    B.

    [−1,1][-1, 1]

    C.

    [1,3][1, 3]

    D.

    [−2,0][-2, 0]

Download the worksheet for Inverse Trigonometric Functions - Definition, range, domain, principal value branch to practice offline. It includes additional chapter-level practice questions.

Graphs of inverse trigonometric functions

Subtopic

Graphs of inverse trigonometric functions under Inverse Trigonometric Functions for Grade 12 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The horizontal lines y=π/2y = \pi/2 and y=−π/2y = -\pi/2 are the boundaries for which function's graph (though not reached)?

    A.

    sin⁡−1x\sin^{-1} x

    B.

    cos⁡−1x\cos^{-1} x

    C.

    tan⁡−1x\tan^{-1} x

    D.

    cot⁡−1x\cot^{-1} x

  2. 2.

    The value of sec⁡−1(2/3)\sec^{-1}(2/\sqrt{3}) according to the graph is:

    A.

    π/6\pi/6

    B.

    π/4\pi/4

    C.

    π/3\pi/3

    D.

    π/2\pi/2

  3. 3.

    Which of these functions has a range that is an open interval (0,π)(0, \pi)?

    A.

    cos⁡−1x\cos^{-1} x

    B.

    sec⁡−1x\sec^{-1} x

    C.

    cot⁡−1x\cot^{-1} x

    D.

    tan⁡−1x\tan^{-1} x

Download the worksheet for Inverse Trigonometric Functions - Graphs of inverse trigonometric functions to practice offline. It includes additional chapter-level practice questions.

Inverse Trigonometric Functions - Class 12 Maths (CBSE) | Krit.club