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Bentuk yang ekuivalen dengan adalah ..

Bentuk yang ekuivalen dengan begin mathsize 14px style fraction numerator open parentheses sec invisible function application open parentheses 90 degree minus x close parentheses plus 1 close parentheses open parentheses sec invisible function application open parentheses 90 degree plus x close parentheses plus 1 close parentheses over denominator open parentheses sec invisible function application open parentheses 180 degree minus x close parentheses minus 1 close parentheses open parentheses sec invisible function application open parentheses 180 degree plus x close parentheses plus 1 close parentheses end fraction end style adalah ..

  1. begin mathsize 14px style negative fraction numerator sin to the power of 4 invisible function application x over denominator cos to the power of 4 invisible function application x end fraction end style

  2. begin mathsize 14px style fraction numerator sin to the power of 4 invisible function application x over denominator cos to the power of 4 invisible function application x end fraction end style

  3. begin mathsize 14px style negative fraction numerator cos to the power of 4 invisible function application x over denominator sin to the power of 4 invisible function application x end fraction end style

  4. begin mathsize 14px style fraction numerator cos to the power of 4 invisible function application x over denominator sin to the power of 4 invisible function application x end fraction end style

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

jawaban yang tepat adalah C.

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Pembahasan

Perhatikan bahwa Oleh karena itu, Jadi, jawaban yang tepat adalah C.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sec invisible function application open parentheses 90 degree minus x close parentheses end cell equals cell fraction numerator 1 over denominator cos invisible function application open parentheses 90 degree minus x close parentheses end fraction equals fraction numerator 1 over denominator sin invisible function application x end fraction equals csc invisible function application x end cell row cell sec invisible function application open parentheses 90 degree plus x close parentheses end cell equals cell fraction numerator 1 over denominator cos invisible function application open parentheses 90 degree plus x close parentheses end fraction equals fraction numerator 1 over denominator negative sin invisible function application x end fraction equals negative csc invisible function application x end cell row cell sec invisible function application open parentheses 180 degree minus x close parentheses end cell equals cell fraction numerator 1 over denominator cos invisible function application open parentheses 180 degree minus x close parentheses end fraction equals fraction numerator 1 over denominator negative cos invisible function application x end fraction equals negative sec invisible function application x end cell row cell sec invisible function application open parentheses 180 degree plus x close parentheses end cell equals cell fraction numerator 1 over denominator cos invisible function application open parentheses 180 degree plus x close parentheses end fraction equals fraction numerator 1 over denominator negative cos invisible function application x end fraction equals negative sec invisible function application x end cell end table end style

Oleh karena itu,

begin mathsize 14px style fraction numerator open parentheses sec invisible function application open parentheses 90 degree minus x close parentheses plus 1 close parentheses open parentheses sec invisible function application open parentheses 90 degree plus x close parentheses plus 1 close parentheses over denominator open parentheses sec invisible function application open parentheses 180 degree minus x close parentheses minus 1 close parentheses open parentheses sec invisible function application open parentheses 180 degree plus x close parentheses plus 1 close parentheses end fraction equals fraction numerator open parentheses csc invisible function application x plus 1 close parentheses open parentheses negative csc invisible function application x plus 1 close parentheses over denominator open parentheses negative sec invisible function application x minus 1 close parentheses open parentheses negative sec invisible function application x plus 1 close parentheses end fraction equals fraction numerator open parentheses csc invisible function application x plus 1 close parentheses open parentheses negative csc invisible function application x plus 1 close parentheses over denominator negative open parentheses sec invisible function application x plus 1 close parentheses open parentheses negative sec invisible function application x plus 1 close parentheses end fraction equals fraction numerator open parentheses 1 plus csc invisible function application x close parentheses open parentheses 1 minus csc invisible function application x close parentheses over denominator negative open parentheses 1 plus sec invisible function application x close parentheses open parentheses 1 minus sec invisible function application x close parentheses end fraction equals fraction numerator 1 minus csc squared invisible function application x over denominator negative open parentheses 1 minus sec squared invisible function application x close parentheses end fraction equals fraction numerator 1 minus open parentheses cot squared invisible function application x plus 1 close parentheses over denominator negative open parentheses 1 minus open parentheses tan squared invisible function application x plus 1 close parentheses close parentheses end fraction equals fraction numerator negative cot squared invisible function application x over denominator negative open parentheses negative tan squared invisible function application x close parentheses end fraction equals fraction numerator negative cot squared invisible function application x over denominator tan squared invisible function application x end fraction equals negative cot squared invisible function application x divided by tan squared invisible function application x equals negative fraction numerator cos squared invisible function application x over denominator sin squared invisible function application x end fraction divided by fraction numerator sin squared invisible function application x over denominator cos squared invisible function application x end fraction equals negative fraction numerator cos squared invisible function application x over denominator sin squared invisible function application x end fraction times fraction numerator cos squared invisible function application x over denominator sin squared invisible function application x end fraction equals negative fraction numerator cos to the power of 4 invisible function application x over denominator sin to the power of 4 invisible function application x end fraction end style

Jadi, jawaban yang tepat adalah C.

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