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Diketahui cos ( A − B ) = 5 3 ​ , cos A cos B = 25 7 ​ . Nilai tan A tan B = ....

Diketahui

Nilai ....

  1. 36 over 7

  2. 24 over 7

  3. 15 over 7

  4. 11 over 7

  5. 8 over 7

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cos open parentheses A minus B close parentheses space equals space cos space A space cos space B plus sin space A space sin space B sin space A space sin space B space equals space cos open parentheses A minus B close parentheses minus cos space A space cos space B space space space space space space space space space space space space space space space space space space space space equals space 3 over 5 minus 7 over 25 space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 15 minus 7 over denominator 25 end fraction space space space space space space space space space space space space space space space space space space space space equals space 8 over 25 tan space A space tan space B space equals space fraction numerator sin space A space sin space B over denominator cos space A space cos space B end fraction space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style 8 over 25 end style over denominator space begin display style 7 over 25 end style end fraction space space space space space space space space space space space space space space space space space space space space space equals space 8 over 25 cross times 25 over 7 space space space space space space space space space space space space space space space space space space space space space equals space 8 over 7 space space

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Diketahui tan A = 5 12 ​ , sin B = 5 4 ​ (A dan B sudut lancip) Nilai dari cos ( A − B ) = ...

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3.6

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