Pertanyaan

Diketahui tan A = p , maka nilai cos 2 A adalah...

Diketahui $tan A = p,$ maka nilai cos 2A adalah...

$fraction numerator 1 minus p squared over denominator p squared plus 1 end fraction$
$fraction numerator 2 p over denominator p squared plus 1 end fraction$
$fraction numerator 2 over denominator p squared plus 1 end fraction$
$fraction numerator 2 square root of p squared plus 1 end root over denominator p squared plus 1 end fraction$

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

tan A = p, artinya Berdasarkan gambar tersebut dapat diketahui bahwa dan , maka:

tan A = p, artinya

Berdasarkan gambar tersebut dapat diketahui bahwa $cos space A equals fraction numerator 1 over denominator square root of p squared plus 1 end root end fraction space$ dan $sin space A equals fraction numerator p over denominator square root of p squared plus 1 end root end fraction$ , maka:

$cos space 2 A equals cos squared space A minus sin squared space A space space space space space space space space space space space space space equals open parentheses fraction numerator 1 over denominator square root of p squared plus 1 end root end fraction close parentheses squared minus open parentheses fraction numerator p over denominator square root of p squared plus 1 end root end fraction close parentheses squared space space space space space space space space space space space space space equals fraction numerator 1 over denominator p squared plus 1 end fraction minus fraction numerator p squared over denominator p squared plus 1 end fraction equals fraction numerator 1 minus p squared over denominator p squared plus 1 end fraction$

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