nilai dari sin 120° + sin 150° / cos 330° + cos 120° tolong sama penjelasannya

[tex] \frac{ \sin(120) + \sin(150) }{ \cos(330) + \cos(120) } \\ = \frac{ \frac{ \sqrt{3} }{2} + \frac{1}{2} }{ \frac{ \sqrt{3} }{2} - \frac{1}{2} } \\ = \frac{ \sqrt{3} + 1}{2} \div \frac{ \sqrt{3} - 1}{2} \\ = \frac{ \sqrt{3} + 1}{2} \times \frac{2}{ \sqrt{3} - 1 } \\ = \frac{ \sqrt{3} + 1}{ \sqrt{3} - 1 } \times \frac{ \sqrt{3} + 1 }{ \sqrt{3} + 1} \\ = \frac{2 \sqrt{3} + 4 }{3 - 1} \\ = \frac{2( \sqrt{3} + 2)}{2} = \sqrt{3} + 2 = 2 + \sqrt{3} [/tex]