Pertanyaan

Nilai dari cos 12 0 ∘ + tan 13 5 ∘ sin 15 0 ∘ + tan 22 5 ∘ adalah ...

Nilai dari $\frac{sin 15 0 ^{\circ} + tan 22 5 ^{\circ}}{cos 12 0 ^{\circ} + tan 13 5 ^{\circ}}$ adalah ...

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Pembahasan

$fraction numerator sin space 150 degree space plus space tan space 225 degree over denominator cos space 120 degree space plus space tan space 135 degree end fraction equals fraction numerator begin display style 1 half end style plus 1 over denominator negative begin display style 1 half end style plus open parentheses negative 1 close parentheses end fraction equals fraction numerator begin display style fraction numerator 1 plus 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator negative 1 minus 2 over denominator 2 end fraction end style end fraction equals fraction numerator begin display style 3 over 2 end style over denominator begin display style fraction numerator negative 3 over denominator 2 end fraction end style end fraction equals 3 over 2 cross times open parentheses fraction numerator 2 over denominator negative 3 end fraction close parentheses equals fraction numerator 6 over denominator negative 6 end fraction equals negative 1$