Pertanyaan

Jika sin A = 2 pq ,dan tan A = p − q 2 pq , maka p 2 + q 2 = ....

Jika sin A = $2 pq$ , dan tan A = $\frac{2 pq}{p - q}$ , maka $p^{2} + q^{2}$ = ....

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

A = 2pq A =

undefined A = 2pq

undefined A = $begin mathsize 14px style fraction numerator 2 p q over denominator left parenthesis p minus q right parenthesis squared end fraction end style$

$begin mathsize 14px style tan squared space A equals fraction numerator sin squared A over denominator p squared plus q squared minus 2 p q end fraction fraction numerator begin display style up diagonal strike sin squared space A end strike end style over denominator begin display style cos squared end style begin display style space end style begin display style A end style end fraction equals fraction numerator begin display style up diagonal strike sin squared space A end strike end style over denominator p squared plus q squared minus sin squared space A end fraction p squared plus q squared minus sin squared space A equals cos squared space A p squared plus q squared equals sin squared space A plus cos squared space A p squared plus q squared equals 1 end style$