jika tan x = 1/2, x sudut lancip, maka nilai 2 sin(x + π/2) + cos (π-x) = ...
Matematika
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Pertanyaan
jika tan x = 1/2, x sudut lancip, maka nilai 2 sin(x + π/2) + cos (π-x) = ...
1 Jawaban
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1. Jawaban DB45
Nilai fungsi trigonometri
tan x = 1/2
r = √(1²+2²)= √5
2 sin (x + π/2) + cos (π-x) =
= 2 sin (π/2 + x) + cos (π - x)
= 2 cos x - cos x
= cos x = 2/√5