How do I prove that 2/(cotxtan2x) -= 1 - tan^2x?

1 Answer
Jun 20, 2018

As proved below.

Explanation:

cot x = 1/ tan x

tan 2x = (2 tan x) / (1 - tan^2 x) - Identity.

To prove 2 / (cot x * tan 2x) = 1 - tan^2 x

2 / (cot x * tan 2x)

=> (2 tan x) / tan 2x#

=> (2 tan x) / ((2tan x) / (1 - tan^2 x))

=> (1 - tan^2 x) = R H S