Pertanyaan

28. sin 15 0 ∘ ⋅ cos 22 5 ∘ sin 27 0 ∘ ⋅ cos 13 5 ∘ − tan 13 5 ∘ = ...

28. $\frac{sin 27 0 ^{\circ} \cdot cos 13 5 ^{\circ} - tan 13 5 ^{\circ}}{sin 15 0 ^{\circ} \cdot cos 22 5 ^{\circ}} = ...$

S. Nur

Master Teacher

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$sin open parentheses 270 degree close parentheses equals sin open parentheses 180 degree plus 90 degree close parentheses equals negative sin space 90 degree equals negative 1 open parentheses kuadran space III close parentheses cos open parentheses 135 degree close parentheses equals cos open parentheses 180 degree minus 45 degree close parentheses equals negative cos space 45 degree equals negative 1 half square root of 2 space open parentheses kuadran space II close parentheses tan open parentheses 135 degree close parentheses equals tan open parentheses 180 degree minus 45 degree close parentheses equals negative tan space 45 degree equals negative 1 space open parentheses kuadran space II close parentheses sin open parentheses 150 degree close parentheses equals sin open parentheses 180 degree minus 30 degree close parentheses equals sin space 30 degree equals 1 half open parentheses kuadran space II close parentheses cos open parentheses 225 degree close parentheses equals cos open parentheses 180 degree plus 45 degree close parentheses equals cos open parentheses 45 degree close parentheses equals negative 1 half square root of 2 open parentheses kuadran space III close parentheses fraction numerator sin space 270 degree times cos space 135 degree minus tan space 135 degree over denominator sin space 150 degree times cos space 225 degree end fraction equals fraction numerator open parentheses negative 1 close parentheses times open parentheses negative 1 half square root of 2 close parentheses minus open parentheses negative 1 close parentheses over denominator open parentheses 1 half close parentheses times open parentheses negative 1 half square root of 2 close parentheses end fraction equals fraction numerator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style plus 1 over denominator negative begin display style 1 fourth end style square root of 2 end fraction equals open parentheses fraction numerator square root of 2 over denominator 2 end fraction plus 1 close parentheses cross times fraction numerator 1 over denominator negative 1 fourth square root of 2 end fraction equals open parentheses fraction numerator square root of 2 over denominator 2 end fraction plus 2 over 2 close parentheses cross times fraction numerator 1 over denominator negative 1 fourth square root of 2 end fraction equals open parentheses fraction numerator square root of 2 plus 2 over denominator 2 end fraction close parentheses cross times fraction numerator 1 over denominator negative 1 fourth square root of 2 end fraction equals fraction numerator square root of 2 plus 2 over denominator 2 cross times open parentheses negative 1 fourth square root of 2 close parentheses end fraction equals fraction numerator square root of 2 plus 2 over denominator negative begin display style 1 half end style square root of 2 end fraction equals negative fraction numerator square root of 2 plus 2 over denominator begin display style 1 half end style square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator negative open parentheses open parentheses square root of 2 cross times square root of 2 close parentheses plus 2 square root of 2 close parentheses over denominator begin display style 1 half end style open parentheses square root of 2 cross times square root of 2 close parentheses end fraction equals fraction numerator negative open parentheses 2 plus 2 square root of 2 close parentheses over denominator begin display style 1 half open parentheses 2 close parentheses end style end fraction equals fraction numerator negative open parentheses 2 plus 2 square root of 2 close parentheses over denominator begin display style 1 end style end fraction equals negative open parentheses 2 plus 2 square root of 2 close parentheses$

Jadi, $fraction numerator sin space 270 degree times cos space 135 degree minus tan space 135 degree over denominator sin space 150 degree times cos space 225 degree end fraction equals negative open parentheses 2 plus 2 square root of 2 close parentheses.$

Oleh karena itu, tidak ada jawaban yang benar. space