Matematika

Pertanyaan

nilai eksak cos 75° + Sin 15°

2 Jawaban

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  • 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)

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