JEE Main 2022 — Inverse Trigonometric Functions Questions with Solutions

The value of tan - 1 cos 15 π 4 - 1 sin π 4 is equal to

If 0 < x < 1 2 and sin - 1 x α = cos - 1 x β , then a value of sin 2 π α α + β is

Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation c…

Let x × y = x 2 + y 3 and x × 1 × 1 = x   × 1 × 1 . Then a value of 2 sin - 1 x 4 + x 2 -…

The set of all values of k for which tan - 1 x 3 + cot - 1 x 3 = k π 3 , x ∈ R , is the interval

50 tan 3 tan - 1 1 2 + 2 cos - 1 1 5 + 4 2 tan 1 2 tan - 1 2 2 is equal to ______.

The value of cot ∑ n = 1 50 tan - 1 1 1 + n + n 2 is

For k ∈ ℝ , let the solutions of the equation cos sin - 1 x cot tan - 1 cos sin - 1 x = k , 0 < x <…

Let x = sin 2 tan - 1 α and y = sin 1 2 tan - 1 4 3 . If S = α ∈ ℝ : y 2 = 1 - x , then ∑ &…

The value of lim n → ∞ 6 tan ∑ r = 1 n tan - 1 1 r 2 + 3 r + 3 is equal to