Pertanyaan

Nilai dari cos 16 8 o − cos 10 2 o sin 7 8 o − sin 1 2 o = ....

Nilai dari $\frac{sin 7 8 ^{o} - sin 1 2 ^{o}}{cos 16 8 ^{o} - cos 10 2 ^{o}} = ....$

-1
0
1

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Pembahasan

$sin A minus sin B equals 2 cos open parentheses fraction numerator A plus B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator A minus B over denominator 2 end fraction close parentheses cos A minus cos B equals negative 2 sin open parentheses fraction numerator A plus B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator A minus B over denominator 2 end fraction close parentheses fraction numerator sin 78 to the power of o minus sin 12 to the power of o over denominator cos 168 to the power of o minus cos 102 to the power of o end fraction space space space equals fraction numerator 2 cos open parentheses fraction numerator 78 to the power of o plus 12 to the power of o over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 78 minus 12 to the power of o over denominator 2 end fraction close parentheses over denominator negative 2 sin open parentheses fraction numerator 168 to the power of o plus 102 to the power of o over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 168 to the power of o minus 102 to the power of o over denominator 2 end fraction close parentheses end fraction equals fraction numerator 2 cos 45 to the power of o sin 33 to the power of o over denominator negative 2 space sin 135 to the power of o sin 33 to the power of o end fraction equals negative fraction numerator cos 45 to the power of o over denominator sin 135 to the power of o end fraction equals negative fraction numerator 1 half over denominator 1 half end fraction equals negative 1$

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