jika tan x = 2,maka nilai dari 2 sin(x + π) + 3 cos (x - π/2) = . . .
Matematika
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Pertanyaan
jika tan x = 2,maka nilai dari 2 sin(x + π) + 3 cos (x - π/2) = . . .
1 Jawaban
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1. Jawaban DB45
Trigonometri
2 sin (π + x) + 3 cos {-(π/2 - x)} =
= 2 (- sin x) + 3 . cos(π/2 - x)
= - 2 sin x + 3. sin x
= sin x
tan x = 2 = y/x
r² = x² +y²
r² = 1² + 2² = 5
r = √5
sin x = y/r = 2/√5 = ²/₅ √5