2

Part of 1963 German National Olympiad

Problems(1)

tan 2x / tan x - 2 cot 2x / cot x=1

Source: 1962-63 Germany R4 12.2

For which numbers

x

of the interval

0 < x <\pi

\frac{\tan 2x}{\tan x} -\frac{2 \cot 2x}{\cot x}=1

trigonometryalgebra