Diketahui: A + B = 45° ; A - B = 30°. Nilai (sin A + cos A)(sin B + cos B) sama dengan...
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Diketahui: A + B = 45° ; A - B = 30°. Nilai (sin A + cos A)(sin B + cos B) sama dengan...
1 Jawaban
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1. Jawaban Anonyme
TriGonoMetRi
A + B = 45°
A - B = 30°
(sin A + cos A)(sin B + cos B)
= (sin A sin B + cos A cos B) + (sin A cos B + cos A sin B)
= cos (A - B) + sin (A + B)
= cos 30° + sin 45°
= 1/2 (√3 + √2)