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Question

Mathematics Question on Relations and functions

Let tan-1 x ∈(π2-\frac π2 π2\frac π2) for x ∈ R Then the number of real solutions of the equation √1 + cos (2x) = √2 tan -1 (tan x) in the set (- 3π/2, - π/2) ∪ (- π/2, π/2) ∪ (π/2, 3π/2) is equal to

Answer

The correct answer is 3

Number of solutions = Number of intersection points = 3.