jika diketahui tan x + cot x = 2 . hitunglah nilai : sin x - cos x
Matematika
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Pertanyaan
jika diketahui tan x + cot x = 2 . hitunglah nilai : sin x - cos x
1 Jawaban
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1. Jawaban stevenwilliam73
tan x=sin x/cos x...cot x=cos x/sin x....tan x + cot x=2....sin x/cos x+cos x/sin x=2....(sin^2 x+cos^2 x)/sin x cos x=2....1=2sin x cos x...sin 2x=1....x=45....sin x -cos x=sin 45- cos 45=0