10 JEE Main 2023 Inverse Trigonometric Functions previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 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.
tan - 1 1 + 3 3 + 3 + sec - 1 8 + 4 3 6 + 3 3 =
Let y = f x represent a parabola with focus - 1 2 , 0 and directrix y = - 1 2 . Then S = x ∈ ℝ : tan - 1 f…
Let a , b ⊂ 0 , 2 π be the largest interval for which sin - 1 sin θ - cos - 1 sin θ > 0 , _…
For x ∈ ( - 1 , 1 ] , the number of solutions of the equation sin - 1 x = 2 tan - 1 x is equal to
If S = x ∈ ℝ : sin - 1 x + 1 x 2 + 2 x + 2 - sin - 1 x x 2 + 1 = π 4 then ∑ x ∈ S sin x 2…
If sin - 1 α 17 + cos - 1 4 5 - tan - 1 77 36 = 0 , 0 < α < 13 , then sin - 1 sin α + cos - 1 co…
Let a 1 = 1 ,   a 2 ,   a 3 ,   a 4 , … . . be consecutive natural numbers. Then tan - 1 1 1 + a 1…
Let S be the set of all solutions of the equation cos - 1 2 x - 2 cos - 1 1 - x 2 = π , x ∈ - 1 2 , 1 2 . Th…
Let S = x ∈ R : 0 < x < 1   and   2 tan - 1 1 - x 1 + x = cos - 1 1 - x 2 1 + x 2 . If n ( S )…
If the sum of all the solutions of tan - 1 2 x 1 - x 2 + cot - 1 1 - x 2 2 x = π 3 , - 1 < x < 1 , x Ͱ…