Pertanyaan

1 − sin α cos 2 α − 1 + sin α cos 2 α = …

$\frac{cos ^{2} α}{1 - sin α} - \frac{cos ^{2} α}{1 + sin α} = \dots$

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Habis dalam

Klaim

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

.

$fraction numerator cos squared space alpha over denominator 1 minus sin space alpha end fraction minus fraction numerator cos squared space alpha over denominator 1 plus sin space alpha end fraction equals 2 space sin space alpha$ .

Pembahasan

Jadi, .

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos squared space alpha over denominator 1 minus sin space alpha end fraction minus fraction numerator cos squared space alpha over denominator 1 plus sin space alpha end fraction end cell equals cell fraction numerator cos squared space alpha open parentheses 1 plus sin space alpha close parentheses minus cos squared space alpha open parentheses 1 minus sin space alpha close parentheses over denominator open parentheses 1 minus sin space alpha close parentheses open parentheses 1 plus sin space alpha close parentheses end fraction end cell row blank equals cell fraction numerator cos squared space alpha plus cos squared space alpha space sin space alpha minus cos squared space alpha plus cos squared space alpha space sin space alpha over denominator open parentheses 1 minus sin space alpha close parentheses open parentheses 1 plus sin space alpha close parentheses end fraction end cell row blank equals cell fraction numerator 2 space cos squared space alpha space sin space alpha over denominator 1 minus sin squared space alpha end fraction end cell row blank equals cell fraction numerator 2 space cos squared space alpha space sin space alpha over denominator cos squared space alpha end fraction end cell row blank equals cell 2 space sin space alpha end cell end table$

Jadi, $fraction numerator cos squared space alpha over denominator 1 minus sin space alpha end fraction minus fraction numerator cos squared space alpha over denominator 1 plus sin space alpha end fraction equals 2 space sin space alpha$ .