If tan⁻¹(k) + tan⁻¹(1/2) = π/4, then what is the value of k ?

Let the function f(x) = sin[x], where [·] is the greatest integer function, and g(x)…

Let the function f(x) = sin[x], where [·] is the greatest integer function, and g(x)…

Let the function y = (1 − cos x)⁻¹, where x ≠ 2nπ and n…

Let the function y = (1 − cos x)⁻¹, where x ≠ 2nπ and n…

A line makes angles α, β and γ with the positive directions of the coordinate…