(1+sin a + cos a) ² = 2 (1+sin a) (1+cos a)
Matematika
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Pertanyaan
(1+sin a + cos a) ² = 2 (1+sin a) (1+cos a)
1 Jawaban
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1. Jawaban Anonyme
jawab
(1 + sin a + cos a ) ²= 2 (1 + sin a)(1 + cos a)
ruas kiri = ruas kanan
ruas kiri
(1 + (sin a + cos a))² = 1 + 2(sin a + cos a) + (sin a +cos a)²
= 1 + 2sin a + 2 cos a + 1 + 2 sin a cos a
= 2 + 2 sin a + 2 cos a + 2 sin a cos a
= 2 ( 1 + sin a + cos a + sin a cos a)
= 2 (1+sin a)(1 + cos a)