Pertanyaan

Bentuk sederhana dari sin A + sec A tan 2 A + cos 2 A adalah ….

Bentuk sederhana dari $\frac{tan ^{2} A + cos ^{2} A}{sin A + sec A}$ adalah ….

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan squared space A plus cos squared space A over denominator sin space A plus sec space A end fraction end cell equals cell fraction numerator fraction numerator sin squared space A over denominator cos squared space A end fraction plus cos squared space A over denominator sin space A plus fraction numerator 1 over denominator cos space A end fraction end fraction end cell row blank equals cell fraction numerator fraction numerator sin squared space A over denominator cos squared space A end fraction plus cos squared space A over denominator fraction numerator sin space A cos space A plus 1 over denominator cos space A end fraction end fraction end cell row blank equals cell fraction numerator sin squared space A plus cos to the power of 4 space A over denominator cos squared space A end fraction cross times fraction numerator cos space A over denominator sin space A space cos space A plus 1 end fraction end cell row blank equals cell fraction numerator sin squared space A plus cos squared space A open parentheses 1 minus sin squared space A close parentheses over denominator cos space A end fraction cross times fraction numerator 1 over denominator sin space A space cos space A plus 1 end fraction end cell row blank equals cell fraction numerator sin squared space A plus cos squared space A minus sin squared space A cos squared space A over denominator cos space A end fraction cross times fraction numerator 1 over denominator sin space A space cos space A plus 1 end fraction end cell row blank equals cell fraction numerator 1 minus open parentheses sin space A cos space A close parentheses squared over denominator cos space A end fraction cross times fraction numerator 1 over denominator 1 plus sin space A cos space A end fraction end cell row blank equals cell fraction numerator open parentheses 1 minus sin space A cos space A close parentheses open parentheses 1 plus sin space A cos space A close parentheses over denominator cos space A end fraction cross times fraction numerator 1 over denominator 1 plus sin space A cos space A end fraction end cell row blank equals cell fraction numerator open parentheses 1 minus sin space A cos space A close parentheses over denominator cos space A end fraction end cell row blank equals cell sec space A minus sin space A end cell end table$