Pertanyaan

Diketahui (A-B) = 6 π dan cos A.cosB = 3 2 . Nilai dari cos(A+B) adalah...

Diketahui (A-B) = $\frac{π}{6}$ dan cos A.cosB = $\frac{2}{3}$ . Nilai dari cos(A+B) adalah...

$fraction numerator negative 8 plus square root of 3 over denominator 6 end fraction$
$fraction numerator 8 minus square root of 6 over denominator 6 end fraction$
$fraction numerator 8 minus square root of 3 over denominator 6 end fraction$
$fraction numerator 8 plus square root of 3 over denominator 6 end fraction$
$fraction numerator 8 plus square root of 6 over denominator 6 end fraction$

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$cosA. cosB equals 2 over 3 1 half left parenthesis cos left parenthesis space straight A plus space straight B right parenthesis space plus cos left parenthesis space straight A minus space straight B right parenthesis right parenthesis space equals 2 over 3 cos left parenthesis space straight A plus space straight B right parenthesis space plus cos left parenthesis space straight A minus space straight B right parenthesis equals 4 over 3 cos left parenthesis space straight A plus space straight B right parenthesis space plus space cos 30 degree equals 4 over 3 cos left parenthesis straight A plus straight B right parenthesis space plus space fraction numerator square root of 3 over denominator 2 end fraction equals 4 over 3 cos left parenthesis straight A plus straight B right parenthesis space equals 4 over 3 minus fraction numerator square root of 3 over denominator 2 end fraction cos left parenthesis straight A space plus space straight B right parenthesis equals fraction numerator 8 minus square root of 3 over denominator 6 end fraction$