Hitunglah: sin (-150°) . Cos (-45°) . Cotan (-330°)/sin 840° . tan 1050° . sec 3630°
Matematika
avess
Pertanyaan
Hitunglah: sin (-150°) . Cos (-45°) . Cotan (-330°)/sin 840° . tan 1050° . sec 3630°
1 Jawaban
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1. Jawaban bapakdr
kerjain satu2
-) sin - 150 = -sin 150 = - sin (180-30) = -sin 30 = -1/2
-) cos -45 = cos 45 = 1/√2
cotan (-330) = - cotan 330 = - cot (360-30) = - (-cot 30 = cot 30 = √3
-) sin 840 = sin (2.360 + 120) = sin 120 = sin (180-60) = sin 60 = √3/2
-) tan 1050 = tan (2.360 + 330) = tan 330 = tan (360-30) = -tan 30 = -1/√3
-) sec 3630 = sec (10.360 + 30) = sec 30 = 2/√3
coba digabungkan hasilnya
-1/2 × (1/√2) × √3
----------------------------------
(√3/2) × (-1/√3) × (2/√3)
-(√3/2√2)
----------------
-(1/√3)
(√3 / 2√2)
---------------
(1 / √3)
√3 / 2√2 × √3 / 1
3 / 2√2
rasionalkan
3 / 2√2 × (√2/√2)
3√2 / 2(2)
3√2/4
= (3/4)√2