cot(−225)∘ adalah ....

Pertanyaan

$\cot\left(-225\right)^\circ\;$ adalah $....$

R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

nilai dari cot open parentheses negative 225 close parentheses degree space

adalah

Pembahasan

Diketahui cot open parentheses negative 225 close parentheses degree space maka berdasarkan definisi cotangen diperoleh $cot open parentheses negative 225 close parentheses degree equals fraction numerator cos open parentheses negative 225 close parentheses degree over denominator sin open parentheses negative 225 close parentheses degree end fraction$ . Berdasarkan identitas maka

Berdasarkan sudut dan nilai trigonometri pada kuadran III yaitu sin open parentheses 180 plus x close parentheses degree equals negative sin open parentheses x close parentheses degree space text dan end text space cos open parentheses 180 plus x close parentheses degree equals negative cos open parentheses x close parentheses degree maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell cot open parentheses negative 225 close parentheses degree end cell equals cell fraction numerator cos open parentheses 225 close parentheses degree over denominator negative sin open parentheses 225 close parentheses degree end fraction end cell row cell cot open parentheses negative 225 close parentheses degree end cell equals cell fraction numerator cos open parentheses 180 plus 45 close parentheses degree over denominator negative sin open parentheses 180 plus 45 close parentheses degree end fraction end cell row cell cot open parentheses negative 225 close parentheses degree end cell equals cell fraction numerator negative cos open parentheses 45 close parentheses degree over denominator negative left parenthesis negative sin open parentheses 45 close parentheses degree right parenthesis end fraction end cell row cell cot open parentheses negative 225 close parentheses degree end cell equals cell fraction numerator begin display style stack up diagonal strike negative 1 half square root of 2 end strike with negative 1 on top end style over denominator begin display style stack up diagonal strike 1 half square root of 2 end strike with 1 below end style end fraction end cell row cell cot open parentheses negative 225 close parentheses degree end cell equals cell negative 1 end cell end table$

Jadi nilai dari cot open parentheses negative 225 close parentheses degree space adalah negative 1.

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