buktikan bahwa (sin a+cos a)² - 2 sin a cos a = 1
Matematika
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Pertanyaan
buktikan bahwa (sin a+cos a)² - 2 sin a cos a = 1
2 Jawaban
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1. Jawaban WahyuArdz25
(sina + cosa)^2 - 2.sina.cosa = 1
sin^2a + cos^2a + 2.sina.cosa - 2sina.cosa = 1
sin^2a + cos^2a = 1
1 = 1, terbukti... -
2. Jawaban arsetpopeye
(sin a + cos a)^2 - 2 sin a cos a
= sin^2 a + 2 sin a cos a + cos^2 a - 2 sin a cos a
= sin^2 a + cos^2 a
= 1