Hitunglah sec 45°+30°-tan 60°
Matematika
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Pertanyaan
Hitunglah sec 45°+30°-tan 60°
1 Jawaban
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1. Jawaban tjahjaditeddy
sec (45° + 30°) = 1/ cos(45° + 30°)
cos(45° + 30°) = cos 45° cos 30° - sin 45°sin 30°
= [(1/2)√2][(1/2)√3]-[(1/2)√2][1/2] = [(1/4)√6] - [(1/4)√2]
tan 60° = √3
jadi [(1/4)√6] - [(1/4)√2] - √3