Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x
1 answer:
Step-by-step explanation:
(2 cos(2x)) / (cot x – tan x)
Multiply top and bottom by sin x cos x:
(2 cos(2x) sin x cos x) / (cos² x – sin² x)
Use double angle formula:
(2 cos(2x) sin x cos x) / (cos(2x))
2 sin x cos x
Use double angle formula:
sin(2x)
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