Tentukan nilai cosec 15°
Matematika
Canyin
Pertanyaan
Tentukan nilai cosec 15°
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Trigonometri
cosec 15°
= 1/sin 15°
= 1/(sin (45° - 30°)
= 1/(sin 45° . cos 30° - cos 45° . sin 30°)
= 1/(1/2 √2 . 1/2 √3 - 1/2 √2 . 1/2)
= 1/(1/4 √6 - 1/4 √2)
= 1/((√6 - √2)/4)
= 4/(√6 - √2) . ((√6 + √2)/(√6 + √2))
= 4 (√6 + √2)/(6 - 2)
= √6 + √2