tan30° + tan 45°/tan30° - tan45°
Matematika
rhomadonmuhammad
Pertanyaan
tan30° + tan 45°/tan30° - tan45°
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Trigonometri
(tan 30° + tan 45°)/(tan 30° - tan 45°)
= (1/3 √3 + 1)/(1/3 √3 - 1)
= ((√3 + 3)/3) : ((√3 - 3)/3)
= (√3 + 3)/(√3 - 3) . (√3 + 3)/(√3 + 3)
= (3 + 6√3 + 9)/(3 - 9)
= (12 + 6√3)/(-6)
= -2 - √3