jika cos A=m/n,maka cos 2A=
Matematika
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Pertanyaan
jika cos A=m/n,maka cos 2A=
1 Jawaban
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1. Jawaban dnnyz07
Trigonometri
cos A = m/n
x = m
r = n
y = √n² - m²
sin A = y/r
= (√n² - m²)/n
cos 2A
= cos² A - sin² A
= (m/n)² - (( √n² - m²)/n)²
= (m²/n²) - (n² - m²) /n²
= ( m² - n² + m²) /n²
= (2m² - n²)/n²