nilai eksak cos 75° + Sin 15°
Matematika
SuciSherina
Pertanyaan
nilai eksak cos 75° + Sin 15°
2 Jawaban
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1. Jawaban anatasyatata
Jawabannya di foto blablablabla2. Jawaban Anonyme
cos 75° + sin 15°
= cos (30° + 45°) + sin (45° - 30°)
= cos 30° cos 45° - sin 30° sin 45° + sin 45° cos 30° - cos 45° sin 30°
= (1/2 √3 . 1/2 √2 - 1/2 . 1/2 √2) + (1/2 √2 . 1/2 √3 - 1/2 √2 . 1/2)
= 2(1/4 √6 - 1/4√2)
= (1/2)(√6 - √2)