Pertanyaan

Nilai dari sec 19 5 ∘ ?

Nilai dari $sec 19 5^{\circ}$ ?

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari sec 19 5 ∘ adalah .

nilai dari

sec 19 5^{\circ}

adalah $negative fraction numerator 4 over denominator open parentheses square root of 6 plus square root of 2 close parentheses end fraction$ .

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah . Ingat definisi dari sec a = cos a 1 serta ,sehingga akan diperoleh hasil sebagai berikut. Dengan demikian, nilai dari sec 19 5 ∘ adalah .

Jawaban yang benar untuk pertanyaan tersebut adalah $bold sec bold invisible function application bold 195 bold degree bold equals bold minus fraction numerator bold 4 over denominator begin bold style left parenthesis square root of 6 plus square root of 2 right parenthesis end style end fraction$ .

Ingat definisi dari $sec a = \frac{1}{cos a}$ serta cos blank open parentheses A minus B close parentheses equals cos invisible function application A cos invisible function application B plus sin invisible function application A sin invisible function application B , sehingga akan diperoleh hasil sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell sec invisible function application 195 degree end cell equals cell fraction numerator 1 over denominator negative space cos invisible function application 195 degree end fraction end cell row blank equals cell fraction numerator 1 over denominator negative space cos invisible function application open parentheses 180 degree plus 15 degree close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative space cos invisible function application 15 degree end fraction end cell row blank equals cell fraction numerator 1 over denominator negative space cos invisible function application open parentheses 45 degree minus 30 degree close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative left parenthesis cos invisible function application 45 degree cos invisible function application 30 degree plus sin invisible function application 45 degree sin invisible function application 30 degree right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator negative open parentheses 1 half square root of 2 times 1 half square root of 3 plus 1 half square root of 2 times 1 half close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative open parentheses 1 fourth square root of 6 plus 1 fourth square root of 2 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 fourth open parentheses square root of 6 plus square root of 2 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative fraction numerator open parentheses square root of 6 plus square root of 2 close parentheses over denominator 4 end fraction end fraction end cell row blank equals cell negative fraction numerator 4 over denominator open parentheses square root of 6 plus square root of 2 close parentheses end fraction end cell end table$

Dengan demikian, nilai dari $sec 19 5^{\circ}$ adalah $negative fraction numerator 4 over denominator open parentheses square root of 6 plus square root of 2 close parentheses end fraction$ .