Pertanyaan

Buktikan identitas berikut. c. cos C 1 − sin C = 1 + sin C cos C

Buktikan identitas berikut.

c. $\frac{1 - sin C}{cos C} = \frac{cos C}{1 + sin C}$

D. Enty

Master Teacher

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa $fraction numerator 1 minus sin space straight C over denominator cos space straight C end fraction equals fraction numerator cos space straight C over denominator 1 plus sin space straight C end fraction$ .

Pembahasan

Jadi, terbukti bahwa .

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 minus sin space straight C over denominator cos space straight C end fraction end cell equals cell fraction numerator 1 minus sin space straight C over denominator cos space straight C end fraction times fraction numerator cos space straight C over denominator cos space straight C end fraction end cell row blank equals cell fraction numerator left parenthesis 1 minus sin space straight C right parenthesis times cos space straight C over denominator cos squared straight C end fraction end cell row blank equals cell fraction numerator left parenthesis 1 minus sin space straight C right parenthesis times cos space straight C over denominator left parenthesis 1 minus sin squared straight C right parenthesis end fraction end cell row blank equals cell fraction numerator left parenthesis 1 minus sin space straight C right parenthesis times cos space straight C over denominator left parenthesis 1 minus sin space straight C right parenthesis left parenthesis 1 plus sin space straight C right parenthesis end fraction end cell row blank equals cell fraction numerator cos space straight C over denominator 1 plus sin space straight C end fraction end cell end table$

Jadi, terbukti bahwa $fraction numerator 1 minus sin space straight C over denominator cos space straight C end fraction equals fraction numerator cos space straight C over denominator 1 plus sin space straight C end fraction$ .