JEE Main Mathematics — Inverse Trigonometric Functions Previous-Year Questions

If y = ⁻¹ ((3 x - 4 x)/(4 x + 3 x) ) + 2⁻¹ (x1+√(1-x²) ), then (dy)/(dx) at x = √(3)2 is equal to:

If the domain of the function f(x)= ⁻¹ (1x²-2 x-2 ), is (-∞, α] [β, γ] [δ, ∞), then α+β+γ+δ is equal to

Let 0 < α < 1, β = (1)/(3α) and ⁻¹(1-α) + ⁻¹(1-β) = (π)/(4). Then 6(α + β) is equal to:

Let α = 3⁻¹ ((6)/(11) ) and β = 3⁻¹ ((4)/(9) ), where inverse trigonometric functions take only the principal values. G…

If (π)/(4) + ₌₁¹¹ ⁻¹ (2p⁻¹1 + 2²p⁻¹ ) = α, then α is equal to __________.

Let [·] denote the greatest integer function. If the domain of the function f(x) = ⁻¹ ((x+[x])/(3) ) is [α, β), then α²…

The number of solutions of ⁻¹ 4x + ⁻¹ 6x = (π)/(6), where -12√(6) < x < 12√(6), is equal to

If k= ((π)/(4)+(1)/(2) ⁻¹ ((2)/(3) ) )+ ((1)/(2) ⁻¹ ((2)/(3) ) ), then the number of solutions of the equation ⁻¹(k x-1…

Let the maximum value of ( ⁻¹ x )²+ ( ⁻¹ x )² for x [-√(3)2, 1√(2) ] be mn π², where gcd(m, n)=1. Then m+n is equal to…

If the domain of the function f(x)= ⁻¹ ((2 x-5)/(11-3 x) )+ ⁻¹ (2 x²-3 x+1 ) is the interval [α, β], then α+2 β is equa…