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Jika dan maka

Jika alpha plus beta equals straight pi over 6 dan cos space alpha plus cos space beta equals 3 over 4 comma maka cos space left parenthesis alpha plus beta right parenthesis equals....

  1. 1 over 9 plus fraction numerator square root of 3 over denominator 2 end fraction

  2. 3 over 2 plus fraction numerator square root of 3 over denominator 2 end fraction

  3. 3 over 4 plus fraction numerator square root of 3 over denominator 2 end fraction

  4. 3 over 2 minus fraction numerator square root of 3 over denominator 2 end fraction

  5. fraction numerator square root of 3 over denominator 2 end fraction

Jawaban:

alpha plus beta equals straight pi over 6 dan cos space alpha space cos space beta equals 3 over 4

alpha plus beta equals straight pi over 6 cos space left parenthesis alpha plus beta right parenthesis equals cos straight pi over 6 equals 1 half square root of 3 cos space alpha space cos space beta equals 3 over 4 2 space cos space alpha space cos space beta space equals 3 over 2 2 space cos space alpha space cos space beta space equals cos space left parenthesis alpha plus beta right parenthesis plus space cos space left parenthesis alpha minus beta right parenthesis 3 over 2 equals 1 half square root of 3 plus cos left parenthesis alpha minus beta right parenthesis cos space left parenthesis alpha minus beta right parenthesis equals 3 over 2 minus 1 half square root of 3

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