Pertanyaan

Hasil dari 1 + sin x 1 − sin x = ...

Hasil dari $\frac{1 - sin x}{1 + sin x} = ...$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat! Maka: Jadi, jawaban yang tepat adalah C.

Ingat!

$tan space x equals fraction numerator sin space x over denominator cos space x end fraction$
$secan space x equals fraction numerator 1 over denominator cos space x end fraction$

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell square root of fraction numerator 1 minus sin space x over denominator 1 plus sin space x end fraction end root end cell equals cell square root of fraction numerator 1 minus sin space x over denominator 1 plus sin space x end fraction end root cross times square root of fraction numerator 1 minus sin space x over denominator 1 minus sin space x end fraction end root end cell row blank equals cell fraction numerator 1 minus sin space x over denominator square root of 1 minus sin squared x end root end fraction end cell row blank equals cell fraction numerator 1 minus sin space x over denominator square root of cos squared x end root end fraction end cell row blank equals cell fraction numerator 1 minus sin space x over denominator cos space x end fraction end cell row blank equals cell fraction numerator 1 over denominator cos space x end fraction minus fraction numerator sin space x over denominator cos space x end fraction end cell row blank equals cell secan space x minus tan space x end cell end table$

Jadi, jawaban yang tepat adalah C.