Pertanyaan

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 ..

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

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

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.