Pertanyaan

Nilai dari cos 7 5 o − cos 1 5 o sin 10 5 o − sin 1 5 o = ...

Nilai dari $\frac{sin 10 5 ^{o} - sin 1 5 ^{o}}{cos 7 5 ^{o} - cos 1 5 ^{o}} = ...$

-1

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Pembahasan

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