( sin x + cos )² - 2tan x cos² x = 1
Matematika
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Pertanyaan
( sin x + cos )² - 2tan x cos² x = 1
1 Jawaban
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1. Jawaban DB45
Trigonometri
(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