jika a+b = π/3 dan cos A cos B = 5/8 , nilai (A-B) = tolong pake cara
Matematika
lita276
Pertanyaan
jika a+b = π/3 dan cos A cos B = 5/8 , nilai (A-B) =
tolong pake cara
tolong pake cara
1 Jawaban
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1. Jawaban DB45
Trigonometri
(A+B) = π/3
cos (π/3)= 1/2
cos (A + B) = cos A cos B - sin A sin B
cos A cos B - sin A sin B = 1/2
cos A cos B = 5/8
5/8 - sin A sin B = 1/2
sin A sin B = 5/8 - 1/2 = 1/8
cos (A - B) = cos A cos B + sin A sin B
cos(A - B ) = 5/8 + 1/8 = 6/8 = 3/4
(A- B) = cos⁻¹ (3/4) ---> dgn alat hitung (A- B) = 41,41°