1-(sin 30°)² / 1+(sin 30°)²
Matematika
cahaya125
Pertanyaan
1-(sin 30°)² / 1+(sin 30°)²
1 Jawaban
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1. Jawaban Robinn
1 - (sin30)² / 1 + (sin30)²
= 1 - (1/2)² / 1 + (1/2)²
= 1 - 1/4 : 1 + 1/4
= 3/4 : 5/4
= 3/5
→ Atau menggunakan identitas :
[ 30˚ = x ]
1 - (sin30)² / 1 + (sin30)²
→ 1 - sin²x / 1 + sin²x
= cos²x / 1 + sin²x
= (1/2 √3)² : 1 + 1/2²
= 1/4 . 3 : 1 + 1/4
= 3/4 : 5/4
= 3/5