Quiz Matematika Kelas X SMA Bab Trigonometri

(cos²30 + sin²60 + sin²45 . cos²45)/(tg²30 . tg 60)
= ((1/2 √3)² + (1/2 √3)² + (1/2 √2 . 1/2 √2)²)/(tg 30 . tg 30 . cot (90 - 60))
= (3/4 + 3/4 + (1/2)²)/(1/3 √3 . tg 30 . cot 30)
= (6/4 + 1/4)/(1/3 √3 . 1)
= (7/4)/(1/3 √3)
= 7/4 . 3/√3
= 7/4 . 3/√3 . √3/√3
= 7/4 . 3√3/3
= 7/4 √3

jawaban ada di pilihan D

Bab Trigonometri
Matematika SMA Kelas X

✩ pada penyebut, diubah sedikit✩

(cos² 30° + sin² 60° + sin² 45 . cos² 45°) : (tan 30° . (tan 30° . tan 60°))
= (cos² 30° + cos² 30° + (1/√2)² . (1/√2)²) : (1/√3 . 1)
= (2 . (1/2 √3)² + (1/2 . 1/2))) . √3
= (2 . 3/4 + 1/4) √3
= (7/4) √3

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