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# 8

Pilgan

Nilai dari $\frac{sin 6 0 ° + sin 3 0 °}{cos 6 0 ° + sin 9 0 °} = . . . .$

$\frac{1}{3} (3 + 1)$

$\frac{1}{3} (3 + 2)$

$\frac{1}{2} (2 + 1)$

$\frac{1}{3} (3 - 1)$

$\frac{1}{2} (3 - 2)$

Karena $\sin30\degree=\frac{1}{2}$ , $\sin60\degree=\frac{1}{2}\sqrt{3}$ , $\sin90\degree=1$ , dan $\cos60\degree=\frac{1}{2}$ , maka

$\frac{\sin60\degree+\sin30\degree}{\cos60\degree+\sin90\degree}=\frac{\frac{1}{2}\sqrt{3}+\frac{1}{2}}{\frac{1}{2}+1}$

$=\frac{\frac{1}{2}\sqrt{3}+\frac{1}{2}}{\frac{3}{2}}$

$=\frac{1}{2}\left(\sqrt{3}+1\right)\times\frac{2}{3}$

$=\frac{1}{3}\left(\sqrt{3}+1\right)$