sin³teta + cos³teta/sinteta + cos teta = 1 - sin teta . cos teta
Matematika
katreen1
Pertanyaan
sin³teta + cos³teta/sinteta + cos teta = 1 - sin teta . cos teta
2 Jawaban
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1. Jawaban whongaliem
(sin³ θ + cos³ θ) / (sin θ + cos θ) = 1 - sin θ . cos θ
(sin θ + cos θ) (sin² θ - sin θ .cos θ + cos² θ) / (sin θ + cos θ) = 1 - sin θ .cos θ
sin² θ + cos² θ - sin θ .cos θ = 1 - sin θ . cos θ
1 - sin θ .cos θ = 1 - sin θ . cos θ .... terbukti -
2. Jawaban Anonyme
Bab Trigonometri Polinomial
Matematika SMA Kelas XI
teta = a
(x²ⁿ⁺¹ + a²ⁿ⁺¹) / (x + a) = x²ⁿ - x²ⁿ⁻¹ a + x²ⁿ⁻² a²....
(sin³ a + cos³ a) / (sin a + cos a)
= sin² a - sin a . cos a + cos² a
= (sin² a + cos² a) - sin a . cos a
= 1 - sin a . cos a