(SinA-cosx)^+(sinA+cosA)^
Matematika
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Pertanyaan
(SinA-cosx)^+(sinA+cosA)^
1 Jawaban
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1. Jawaban bapakdr
(sin A - cos A)² + (sin A+cosA)²
perhatikan
a² + b² = (a + b)² - 2.a.b
maka jadi
(sin A - cos A + sin A + cos A) ² - 2(sin A - cos A)(sin A + cos A)
= (2 sin A)² - 2(sin²A - cos²A)
= 4 sin²A - 2sin²A + 2cos²A
= 2sin²A + 2cos²A
= 2(sin²A + cos²A)
= 2(1)
= 2