Pertanyaan

$limit as x rightwards arrow pi over 4 of fraction numerator 1 minus sin 2 x over denominator cos squared space 2 x end fraction equals...$

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Habis dalam

Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow pi over 4 of fraction numerator 1 minus sin space 2 x over denominator cos squared space 2 x end fraction equals limit as x rightwards arrow pi over 4 of fraction numerator 1 minus sin space 2 x over denominator begin display style cos squared end style begin display style space end style begin display style 2 end style begin display style x end style end fraction equals limit as x rightwards arrow pi over 4 of fraction numerator 1 minus sin space 2 x over denominator open parentheses 1 plus sin space 2 x close parentheses begin display style open parentheses 1 minus sin space 2 x close parentheses end style end fraction equals limit as x rightwards arrow pi over 4 of fraction numerator 1 over denominator 1 plus sin space 2 x end fraction equals fraction numerator 1 over denominator 1 plus sin space 2 open parentheses begin display style pi over 4 end style close parentheses end fraction equals 1 half$