The cotangent of 2X can be expressed in terms of the sine and cosine of complementary angles. Here’s the simplified identity:
cot 2X = (cos² X – sin² X) / (2 sin X cos X)
Using the Pythagorean identity, cos² X – sin² X can be rewritten as:
cos² X – sin² X = cos 2X
Substituting this back into the original equation:
cot 2X = cos 2X / (2 sin X cos X)
This identity provides a useful alternative expression for cot 2X in terms of sine and cosine functions.
