JEE Advanced 2023 Paper 1 Mathematics Q8

Mathematics

Problem

Let tan⁻¹(x)∈(−π/2,π/2), for x∈ℝ. Then the number of real solutions of √(1+cos(2x))=√2 tan⁻¹(tan x) in (−3π/2,−π/2)∪(−π/2,π/2)∪(π/2,3π/2) is equal to