Matematika

Pertanyaan

Jika tan θ + tan γ = p, p ≠ 0, cos θ.cos γ / sin ( θ + γ ) = . . .

A. 1/p
B. 2/p
C. P
D. 2p
E. p^2

1 Jawaban

  • [tex]\tan{\theta}+\tan{\gamma}=p \\ \frac{\sin{\theta}}{\cos{\theta}}+\frac{\sin{\gamma}}{\cos{\gamma}}=p\\ \frac{(\sin{\theta}\times\cos{\gamma})+(\sin{\gamma}\times\cos{\theta})}{\cos{\theta}\times\cos{\gamma}}=p\\ \frac{\sin{(\theta+ \gamma)}}{\cos{\theta}\times\cos{\gamma}}=p\\ \frac{\cos{\theta}\times\cos{\gamma}}{\sin{(\theta+ \gamma)}}=\frac{1}{p}[/tex]

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