JEE Main 2025 — Inverse Trigonometric Functions Questions with Solutions

( ⁻¹ (3)/(5)+ ⁻¹ (5)/(13)+ ⁻¹ (33)/(65) ) is equal to:

Let S= \x: ⁻¹ x=π+ ⁻¹ x+ ⁻¹(2 x+1) \ . Then ~S(2 x-1)² is equal to ______.

If for some α, β ; α ≤ β, α+β-8 and ² ( ⁻¹ α )+cosec² ( ⁻¹ β )-36, then α²+β is_______.

The value of ⁻¹ (√(1+ ²(2))-1 (2) )- ⁻¹ (√(1+ ² ((1)/(2) ))+1 ((1)/(2) ) ) is equal to

The sum of the infinite series ⁻¹ ((7)/(4) )+ ⁻¹ ((19)/(4) )+ ⁻¹ ((39)/(4) )+ ⁻¹ ((67)/(4) )+… . is :-

Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of 16…

Considering the principal values of the inverse trigonometric functions, ⁻¹ (√(3)2 x+(1)/(2) √(1-x²) ),-(1)/(2) x 1√(2)…

If y= ((π)/(3)+ ⁻¹ (x)/(2) ), then (x-y)²+3 y² is equal to _____.

If αβγ0, then the expression ⁻¹ \β+( (1+β² ))/((α-β)) \+ ⁻¹ \γ+( (1+γ² ))/((β-γ)) \+ ⁻¹ \α+( (1+α² ))/((γ-α)) \ is equa…