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Bentuk cos x − tan x − sec x sec x + tan x ​ ekuivalen dengan ...

Bentuk  ekuivalen dengan ...

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

 jawaban yang tepat adalah D.

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Ingat rumus berikut! Perhatikan perhitungan berikut! Oleh karena itu, jawaban yang tepat adalah D.

Ingat rumus berikut!

begin mathsize 14px style cosec invisible function application space x equals fraction numerator 1 over denominator sin invisible function application space x end fraction sec invisible function application space x equals fraction numerator 1 over denominator cos invisible function application space x end fraction tan invisible function application space x equals fraction numerator sin invisible function application space x over denominator cos invisible function application space x end fraction sin squared invisible function application space x plus cos squared invisible function application space x equals 1 end style 

Perhatikan perhitungan berikut!

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

Oleh karena itu, jawaban yang tepat adalah D.

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