jika x cosec² 30° . secan² 45° / 8 cos² 45° . sin² 60° = tan² 60° - tan² 30° maka nilai x adalah
Matematika
ASA029
Pertanyaan
jika x cosec² 30° . secan² 45° / 8 cos² 45° . sin² 60° = tan² 60° - tan² 30° maka nilai x adalah
1 Jawaban
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1. Jawaban ahreumlim
(x csc²30 . sec²45) / (cos²45 . sin²60) = tan²60 - tan²30
= (x (1/sin²30) . (1/cos²45)) / (cos²45 . sin²60) = (sin²60 / cos²60) - (sin²30 / cos²30)
= x / (1/4 × 2/4 × 2/4 × 3/4) = (3/4) / (1/4) - (1/4) / (3/4)
= x / 3/64 = 8/3
= 64x / 3 = 8/3
= 64x = 8
= x = 8