Matematika

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( sin x + cos )² - 2tan x cos² x = 1

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    (sin x + cos x)² - 2 tan x cos² x = 1
    ruas kiri
    = (sin x+ cos x)² - 2 tan x cos² x
    = sin² + 2 sin x cos x + cos² x - 2 (sin x)/(cos x) cos² x
    = (sin² x + cos² x) + 2 sin x cos x - 2 sin x cos x
    = sin² x+ cos² x
    = 1

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