If sin⁻¹(1/5) + sec⁻¹(2) + 2tan⁻¹(1/√3) + sec⁻¹(5) + sin⁻¹(1/2) + 2tan⁻¹(√3) = kπ, then the value of k is

Question

Accepted Answer

2. The sum of the inverse trigonometric functions simplifies to 2π, which corresponds to k=2. Each term contributes to the total angle measure, and their combined value indicates that k must equal 2.

If sin⁻¹(1/5) + sec⁻¹(2) + 2tan⁻¹(1/√3) + sec⁻¹(5) + sin⁻¹(1/2) + 2tan⁻¹(√3) = kπ, then the value of k is

Solution

Related JEE Main Maths questions