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Diketahui cos(A + B) = 5 3 ​ dan cos A.cos B = 3 2 ​ , A dan B sudut lancip, Nilai tan A.tan B adalah ....

Diketahui cos(A + B) = dan cos A.cos B = , A dan B sudut lancip, Nilai tan A.tan B adalah ....

  1. begin mathsize 14px style negative 3 over 10 end style

  2. begin mathsize 14px style negative 1 fifth end style

  3. begin mathsize 14px style negative 2 over 15 end style

  4. begin mathsize 14px style 1 over 10 end style

  5. begin mathsize 14px style 3 over 10 end style

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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begin mathsize 14px style cos invisible function application space open parentheses straight A plus straight B close parentheses equals 3 over 5  cos invisible function application space straight A space cos invisible function application space straight B minus sin invisible function application space straight A space sin invisible function application space straight B equals 3 over 5  2 over 3 minus sin invisible function application space straight A space sin invisible function application space straight B equals 3 over 5  sin invisible function application space straight A space sin space invisible function application straight B equals 2 over 3 minus 3 over 5 equals 1 over 15    tan invisible function application space straight A space tan invisible function application space straight B equals fraction numerator sin space invisible function application straight A space sin space invisible function application straight B over denominator cos invisible function application space straight A space cos space invisible function application straight B end fraction  equals fraction numerator 1 over 15 over denominator 2 over 3 end fraction equals 3 over 30 equals 1 over 10 end style

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Jika sin A sin B = p dan cos ( A − B ) = q maka nyatakan bentuk cos A cos B dalam p dan q .

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