identitas trigonometri tolong yahh
Matematika
Ashari1219
Pertanyaan
identitas trigonometri tolong yahh
1 Jawaban
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1. Jawaban Ramalmlki
[tex]$\begin{align} \frac{sin \ 150 \ + \ sin \ 120 }{cos \ 120 \ - \ cos \ 300} &= \frac{sin(180 - 30) \ + \ sin(180 - 60)}{cos(180 - 60) - cos(360 - 60)} \\ &= \frac{sin \ 30 \ + \ sin \ 60}{ - cos \ 60 - cos \ 60} \\ &= \frac{ \frac{1}{2} \ + \ \frac{1}{2} \sqrt{3} }{-2( \frac{1}{2} )} \\ &= \frac{ \frac{1 + \sqrt{3} }{2}}{-1} \\ &= \frac{-1 - \sqrt{3} }{2} \\ &= - \frac{1}{2}(1 + \sqrt{3} ) \end{align}[/tex]