tan 15° jawabanya dana caranya
Matematika
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Pertanyaan
tan 15° jawabanya dana caranya
1 Jawaban
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1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
tan 15° = tan (45° - 30°)
= (tan 45° - tan 30°) / (1 + tan 45° . tan 30°)
= (1 - 1/3 √3) / (1 + 1 . 1/3 √3)
= ((3 - √3)/3) : ((3 + √3)/3)
= ((3 - √3)/3) x (3/(3 + √3))
= (3 - √3)/(3 + √3)
= (3 - √3) . (3 - √3) / (3² - √3²)
= (9 - 6√3 + √3²) / (9 - 3)
= (9 - 6√3 + 3) / 6
= (12 - 6√3) / 6
= 2 - √3