Pertanyaan

Nilai dari tan 22 5 ∘ + cos 24 0 ∘ sin 12 0 ∘ + cos 33 0 ∘ + sin 15 0 ∘ = ...

Nilai dari $\frac{sin 12 0 ^{\circ} + cos 33 0 ^{\circ} + sin 15 0 ^{\circ}}{tan 22 5 ^{\circ} + cos 24 0 ^{\circ}} = ...$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Dengan demikian, jawaban yang tepat adalah E.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 120 degree plus cos space space 330 degree plus sin space 150 degree over denominator tan space 225 degree plus cos space 240 degree end fraction end cell row blank equals cell fraction numerator sin space open parentheses 90 degree plus 30 degree close parentheses plus cos space open parentheses 360 degree minus 30 degree close parentheses plus sin space open parentheses 180 degree minus 30 degree close parentheses over denominator tan space open parentheses 180 degree plus 45 degree close parentheses plus cos space open parentheses 180 degree plus 60 degree close parentheses end fraction end cell row blank equals cell fraction numerator cos space 30 degree plus cos space 30 degree plus sin space 30 degree over denominator tan space 45 degree minus cos space 60 degree end fraction end cell row blank equals cell fraction numerator 1 half square root of 3 plus 1 half square root of 3 plus 1 half over denominator 1 minus 1 half end fraction end cell row blank equals cell fraction numerator square root of 3 plus 1 half over denominator 1 half end fraction end cell row blank equals cell 2 square root of 3 plus 1 end cell end table end style$

Dengan demikian, jawaban yang tepat adalah E.