Pertanyaan

Jika tan 2 x − 1 = p 3 , maka nilai cos 2 x adalah...

Jika $tan^{2} x - 1 = p^{3}$ , maka nilai $cos^{2} x$ adalah...

$fraction numerator 2 over denominator straight p cubed plus 2 end fraction$
$fraction numerator 1 over denominator straight p cubed plus 2 end fraction$
$fraction numerator 2 over denominator straight p cubed minus 2 end fraction$
$fraction numerator 1 over denominator straight p cubed minus 2 end fraction$

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$tan squared space straight x space minus space 1 space equals space straight p cubed fraction numerator sin squared straight x over denominator cos squared straight x end fraction minus space 1 space equals space straight p cubed fraction numerator sin squared straight x over denominator cos squared straight x end fraction equals space straight p cubed space plus space 1 fraction numerator 1 minus cos squared straight x over denominator cos squared straight x end fraction equals straight p cubed space plus space 1 1 minus cos squared straight x space equals space straight p cubed space cos squared straight x plus cos squared straight x 1 equals straight p cubed space cos squared straight x plus cos squared straight x space plus space cos squared straight x 1 equals straight p cubed space cos squared straight x plus 2 cos squared straight x space 1 equals left parenthesis straight p cubed plus 2 right parenthesis cos squared straight x cos squared straight x equals fraction numerator 1 over denominator straight p cubed plus 2 end fraction$

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