prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x​

Question

prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x​

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Eliza 6 days 2021-10-11T21:08:40+00:00 1 Answer 0

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    2021-10-11T21:09:47+00:00

    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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