Nilai dari 4 sin 210 derajat - cos 120 derajat + sin 330 derajat =
Matematika
apaajabolehdeh
Pertanyaan
Nilai dari 4 sin 210 derajat - cos 120 derajat + sin 330 derajat =
2 Jawaban
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1. Jawaban MicoArrafi
[tex]$\begin{align}&4\cdot\sin210^{\circ}-\cos120^{\circ}+\sin330^{\circ}\\\\&=4\cdot\sin(180^{\circ}+30^{\circ})-\cos(180^{\circ}-60^{\circ})+\sin(360^{\circ}-30^{\circ})\\&=4\cdot-\sin30^{\circ}-(-\cos60^{\circ})+(-\sin30^{\circ})\\&=4\cdot-\frac12-\left(-\frac12\right)+\left(-\frac12\right)\\&=-2+\frac12-\frac12\\&=\boxed{-2}\end[/tex] -
2. Jawaban mitaweee
4.-1/2√2 - (-1/2) + (-1/2)
= -4/2√2 + 1/2 - 1/2
= -4/2√2
= -2√2