Pertanyaan

Nilai dari cos 33 0 ∘ ⋅ tan ( − 315 ) − sin ( − 210 ) ⋅ cot 33 0 ∘ = ....

Nilai dari $cos 33 0^{\circ} \cdot tan (- 315) - sin (- 210) \cdot cot 33 0^{\circ} = ....$

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Jawaban terverifikasi

Jawaban

Jawaban yang benar adalah D

Pembahasan

Nilai trigonometri pada sudut istimewa. Jadii, Nilai Oleh karena itu, Jawaban yang benar adalah D

Nilai trigonometri pada sudut istimewa.

$cos space 330 degree times tan left parenthesis negative 315 degree right parenthesis minus sin space left parenthesis negative 210 right parenthesis times cot space 330 degree equals cos space 330 degree times tan left parenthesis 45 degree right parenthesis plus sin space left parenthesis 210 right parenthesis times cot space 330 degree equals cos space 330 degree times tan left parenthesis 45 degree right parenthesis plus sin space left parenthesis 210 right parenthesis times fraction numerator 1 over denominator tan space left parenthesis 330 degree right parenthesis end fraction equals fraction numerator square root of 3 over denominator 2 end fraction times 1 minus 1 half times fraction numerator 1 over denominator begin display style negative fraction numerator square root of 3 over denominator 3 end fraction end style end fraction equals fraction numerator square root of 3 over denominator 2 end fraction times 1 plus 1 half times fraction numerator 3 over denominator begin display style square root of 3 end style end fraction equals fraction numerator square root of 3 over denominator 2 end fraction plus 1 half times square root of 3 equals fraction numerator square root of 3 over denominator 2 end fraction plus fraction numerator square root of 3 over denominator 2 end fraction equals square root of 3$

Jadii, Nilai cos space 330 degree times tan left parenthesis negative 315 degree right parenthesis minus sin space left parenthesis negative 210 right parenthesis times cot space 330 degree equals square root of 3

Oleh karena itu, Jawaban yang benar adalah D