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Pertanyaan

Nilai dari fraction numerator cos 115 to the power of o plus cos 5 to the power of o over denominator sin 115 to the power of o plus sin 5 to the power of o end fraction equals.....

  1. negative square root of 3

  2. -1

  3. negative 1 third square root of 3

  4. 1 third square root of 3

  5. square root of 3

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Pembahasan

R u m u s space p e n j u m l a h a n space sin u s space d a n space cos i n u s space a d a l a h colon  cos alpha plus cos beta equals 2 cos fraction numerator alpha plus beta over denominator 2 end fraction cos fraction numerator alpha minus beta over denominator 2 end fraction  sin alpha plus sin beta equals 2 sin fraction numerator alpha plus beta over denominator 2 end fraction cos fraction numerator alpha minus beta over denominator 2 end fraction  S e h i n g g a comma  fraction numerator cos 115 to the power of o plus cos 5 to the power of o over denominator sin 115 to the power of o plus sin 5 to the power of o end fraction equals fraction numerator 2 cos fraction numerator 115 plus 5 over denominator 2 end fraction cos fraction numerator 115 minus 5 over denominator 2 end fraction over denominator 2 sin fraction numerator 115 plus 5 over denominator 2 end fraction cos fraction numerator 115 minus 5 over denominator 2 end fraction end fraction  equals fraction numerator 2 cos 60 to the power of o cos 55 to the power of o over denominator 2 sin 60 to the power of o cos 55 to the power of o end fraction  equals fraction numerator cos 60 to the power of o over denominator sin 60 to the power of o end fraction  equals C o t space 60 to the power of o  equals 1 third square root of 3

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