1−sin αcos2 α​−1+sin αcos2 α​=....

Pertanyaan

begin mathsize 14px style 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.... end style 

  1. begin mathsize 14px style 2 space sin space alpha end style 

  2. begin mathsize 14px style 2 space cos space alpha end style 

  3. begin mathsize 14px style 2 space tan space alpha end style 

  4. begin mathsize 14px style 2 space sec space alpha end style 

  5. begin mathsize 14px style 2 space csc space alpha end style 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Dengan memanfaatkan identitas trigonometri begin mathsize 14px style cos squared space alpha plus sin squared space alpha equals 1 end style.

begin mathsize 12px style 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 fraction numerator 1 minus sin squared space alpha over denominator 1 minus sin space alpha end fraction minus fraction numerator 1 minus sin squared space alpha over denominator 1 plus sin space alpha end fraction equals fraction numerator up diagonal strike open parentheses 1 minus sin space alpha space close parentheses end strike open parentheses 1 plus sin space alpha close parentheses over denominator up diagonal strike 1 minus sin space alpha end strike end fraction minus fraction numerator up diagonal strike left parenthesis 1 plus sin space alpha space right parenthesis end strike left parenthesis 1 minus sin space alpha right parenthesis over denominator up diagonal strike 1 plus sin space alpha end strike end fraction equals open parentheses 1 plus sin space alpha close parentheses minus open parentheses 1 minus sin space alpha close parentheses equals 1 plus sin space alpha minus 1 plus sin space alpha equals 2 space sin space alpha end style  

Jadi, jawaban yang tepat adalah A.

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