Hitunglah nilai dari(tan135xtan315)sec60
Matematika
natasyasari03
Pertanyaan
Hitunglah nilai dari(tan135xtan315)sec60
2 Jawaban
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1. Jawaban DB45
nilai fungsi trigonometri
tan135 = tan(180-45) = tan 45 = 1
tan 315 = tan (360-45) = tan 45 = - 1
sec 60 = 1/cos 60 = 1/ (1/2 √3) = 2/3 √3
(tan 135 x tan 315 ) sec 60 = (1)(-1)(2/3)√3 = - 2/3 √3 -
2. Jawaban Naone1
(tan 135° × tan 315°) sec 60°
((tan 180° - 45°) × (tan 360° - 45°)) sec 60°
(- tan 45° × -tan 45°) sec 60°
( -1 × (-1)) 2
1 × 2
Jwb = 2