sec 330° × tan 120° × sin 315° =
Matematika
riska240201
Pertanyaan
sec 330° × tan 120° × sin 315° =
2 Jawaban
-
1. Jawaban antisocial
sec 330° = sec (360-30)° = sec 30° = 2/3 akar 3
tan 120° = tan (180-60)° = - tan 60° = -1/2 akar 3
sin 315° = (360-45)° = - sin 45° = -1/2 akar 2
jadi sec 330° × tan 120° × sin 315° = 2/3 akar 3 × -1/2 akar 3 × -1/2 akar 2 = 1/2 akar 2 -
2. Jawaban lecil
Sec 330° × tan 120°
× sin 315°
= 2/3√3 x (-√3) x( -1/2√2)
= -6/3 x -1/2√2
=-2 x -1/2 √2
= √2