Pertanyaan

Hitunglah setiap nilai operasi trigonometri berikut: cos 22 5 ∘ sin 15 0 ∘ cos 13 5 ∘ sin 27 0 ∘ − tan 13 5 ∘ .

Hitunglah setiap nilai operasi trigonometri berikut: $\frac{cos 13 5 ^{\circ} sin 27 0 ^{\circ} - tan 13 5 ^{\circ}}{cos 22 5 ^{\circ} sin 15 0 ^{\circ}} .$

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos 135 degree sin 270 degree minus tan 135 degree over denominator cos 225 degree sin 150 degree end fraction end cell equals cell fraction numerator cos left parenthesis 180 degree minus 45 degree right parenthesis sin 270 degree minus tan left parenthesis 180 degree minus 45 degree right parenthesis over denominator cos left parenthesis 180 degree plus 45 degree right parenthesis sin left parenthesis 180 degree minus 30 degree right parenthesis end fraction end cell row blank equals cell fraction numerator negative cos 45 degree sin 270 degree minus left parenthesis negative tan 45 degree right parenthesis over denominator negative cos 45 degree sin 30 degree end fraction end cell row blank equals cell fraction numerator negative 1 half square root of 2 times open parentheses negative 1 close parentheses plus 1 over denominator negative 1 half square root of 2 times 1 half end fraction end cell row blank equals cell fraction numerator 1 half square root of 2 plus 1 over denominator negative 1 fourth square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator 1 plus square root of 2 over denominator negative 1 half end fraction end cell row blank equals cell open parentheses 1 plus square root of 2 close parentheses times open parentheses negative 2 over 1 close parentheses end cell row blank equals cell negative 2 minus 2 square root of 2 end cell end table end style$