Pertanyaan

Bentuk sederhana dari 1 + tan 2 A 1 − tan 2 A adalah ….

Bentuk sederhana dari $\frac{1 - tan ^{2} A}{1 + tan ^{2} A}$ adalah ….

$fraction numerator sin space A over denominator cos space A end fraction$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat bahwa : dan Maka,

Ingat bahwa :

$tan space A equals fraction numerator sin space A over denominator cos space A end fraction$

dan

Maka,

$fraction numerator 1 minus tan squared space A over denominator 1 plus tan squared space A end fraction equals fraction numerator 1 minus fraction numerator sin squared space A over denominator cos squared space A end fraction over denominator 1 plus fraction numerator sin squared space A over denominator cos squared space A end fraction end fraction equals fraction numerator fraction numerator cos squared space A minus sin squared space A over denominator cos squared space A end fraction over denominator fraction numerator cos squared space A plus sin squared space A over denominator cos squared space A end fraction end fraction equals fraction numerator cos squared space A minus sin squared space A over denominator cos squared space A plus sin squared space A end fraction equals cos squared space A minus sin squared space A$