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SMK Teknologi dan Rekayasa

Soal 86 Perbandingan Trigonometri


Nilai\ dari\ sin\ 30^{\circ}+tan\ 225^{\circ}-cos\ 300^{\circ}\ adalah\ ....\\a.\ \ 0\ \ \ \ \ \ \ \ \ \ b.\ \ \frac{1}{2}\ \ \ \ \ \ \ \ \ \ c.\ \ \frac{1}{2}\sqrt{3}\ \ \ \ \ \ \ \ \ \ d.\ \ 1\ \ \ \ \ \ \ \ \ \ e.\ \ \sqrt{3}
Jawaban: d
\begin{array}{rcl}sin\ 30^{\circ}+tan\ 225^{\circ}-cos\ 300^{\circ}&=&sin\ 30^{\circ}+tan\ (180+45)^{\circ}-cos\ (360-60)^{\circ}\\\\&=&sin\ 30^{\circ}+tan\ 45^{\circ}-cos\ 60^{\circ}\\\\&=&\frac{1}{2}+1-\frac{1}{2}\\\\&=&1\end{array}

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