JEE Main 2021MathematicsInverse Trigonometric Functions

JEE Main 2021 — Inverse Trigonometric Functions Questions with Solutions

14 JEE Main 2021 Inverse Trigonometric Functions previous-year questions with verified answers and step-by-step solutions.

These are the JEE Main 2021 previous-year questions from the Inverse Trigonometric Functions chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Inverse Trigonometric Functions chapter hub.

  1. Q12021MCQMedium

    If sin - 1 x a = cos - 1 x b = tan - 1 y c ; 0 < x < 1 , then the value of cos π c a + b is:

  2. Q22021MCQMedium

    Let S k = ∑ r = 1 k tan - 1 6 r 2 2 r + 1 + 3 2 r + 1 , then lim k → ∞ S k is equal to :

  3. Q32021MCQEasy

    The number of solutions of the equation sin - 1 x 2 + 1 3 + cos - 1 x 2 - 2 3 = x 2 for x ∈ [ - 1 , 1 ] , and [ x…

  4. Q42021MCQEasy

    A possible value of tan 1 4 sin - 1 63 8 is:

  5. Q52021NumericalEasy

    lim n → ∞ tan ∑ r = 1 n tan - 1 1 1 + r + r 2 is equal to_______.

  6. Q62021MCQMedium

    If sin - 1 x 2 - cos - 1 x 2 = a ;   0 < x < 1 ,   a ≠ 0 , then the value of 2 x 2 - 1 is

  7. Q72021MCQMedium

    The number of real roots of the equation tan - 1 x x + 1 + sin - 1 x 2 + x + 1 = π 4 is:

  8. Q82021MCQMedium

    The sum of possible values of x for tan - 1 x + 1 + cot - 1 1 x - 1 = tan - 1 8 31 is:

  9. Q92021MCQMedium

    cosec 2 cot - 1 5 + cos - 1 4 5 is equal to:

  10. Q102021MCQHard

    If cot - 1 ( α ) = cot - 1 2 + cot - 1 8 + cot - 1 18 + cot - 1 32 + … . upto 100 terms, then α is:

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