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Nilai dari fraction numerator sin 105 degree minus sin 15 degree over denominator cos 75 degree minus cos 15 degree end fraction adalah.....

  1. negative square root of 3

  2. -1

  3. 1 half

  4. 1 half square root of 3

  5. square root of 3

A. Acfreelance

Master Teacher

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Pembahasan

R u m u s space u n t u k space p e n g u r a n g a n space t r i g o n o m e t r i space a d a l a h colon  sin alpha minus sin beta equals 2 cos fraction numerator alpha plus beta over denominator 2 end fraction sin fraction numerator alpha minus beta over denominator 2 end fraction  cos alpha minus cos beta equals negative 2 sin fraction numerator alpha plus beta over denominator 2 end fraction sin fraction numerator alpha minus beta over denominator 2 end fraction  S e h i n g g a comma  fraction numerator sin 105 to the power of o minus sin 15 to the power of o over denominator cos 75 to the power of o minus cos 15 to the power of o end fraction equals fraction numerator 2 cos fraction numerator 105 plus 15 over denominator 2 end fraction sin fraction numerator 105 minus 15 over denominator 2 end fraction over denominator negative 2 sin fraction numerator 75 plus 15 over denominator 2 end fraction sin fraction numerator 75 minus 15 over denominator 2 end fraction end fraction  equals fraction numerator 2 cos 60 to the power of o sin 45 to the power of o over denominator negative 2 sin 45 to the power of o sin 30 to the power of o end fraction  equals fraction numerator 2 cross times 1 half cross times 1 half square root of 2 over denominator negative 2 cross times 1 half square root of 2 cross times 1 half end fraction  equals negative 1

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