Pertanyaan

Bentuk lain dari ( cos α cos β ) 2 ( sin α − sin β ) ( sin α + sin β )

Bentuk lain dari $\frac{( sin α - sin β ) ( sin α + sin β )}{( cos α cos β ) ^{2}}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk lain daridari adalah .

bentuk lain dari dari $fraction numerator open parentheses sin space straight alpha minus sin space straight beta close parentheses open parentheses sin space straight alpha space plus sin space straight beta close parentheses over denominator left parenthesis cos space straight alpha space cos space straight beta right parenthesis squared end fraction$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses cos space beta minus cos space alpha close parentheses open parentheses cos space beta plus cos space alpha close parentheses over denominator cos squared alpha space cos squared beta end fraction end cell end table$ .

Pembahasan

Ingatlah aturan berikut. Maka, Jadi, bentuk lain daridari adalah .

Ingatlah aturan berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell sin squared x plus cos squared x end cell equals 1 row cell sin squared x end cell equals cell 1 minus cos squared x end cell row cell open parentheses a plus b close parentheses open parentheses a minus b close parentheses end cell equals cell a squared minus b squared end cell end table

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses sin space straight alpha minus sin space straight beta close parentheses open parentheses sin space straight alpha space plus sin space straight beta close parentheses over denominator left parenthesis cos space straight alpha space cos space straight beta right parenthesis squared end fraction end cell equals cell fraction numerator open parentheses 1 minus cos squared alpha close parentheses minus open parentheses 1 minus cos squared beta close parentheses over denominator cos squared alpha space cos squared beta end fraction end cell row blank equals cell fraction numerator open parentheses 1 minus cos space alpha squared close parentheses minus 1 plus cos squared beta over denominator cos squared alpha space cos squared beta end fraction end cell row blank equals cell fraction numerator cos squared beta minus cos squared alpha over denominator cos squared alpha space cos squared beta end fraction end cell row blank equals cell fraction numerator open parentheses cos space beta minus cos space alpha close parentheses open parentheses cos space beta plus cos space alpha close parentheses over denominator cos squared alpha space cos squared beta end fraction end cell end table$

Jadi, bentuk lain dari dari $fraction numerator open parentheses sin space straight alpha minus sin space straight beta close parentheses open parentheses sin space straight alpha space plus sin space straight beta close parentheses over denominator left parenthesis cos space straight alpha space cos space straight beta right parenthesis squared end fraction$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses cos space beta minus cos space alpha close parentheses open parentheses cos space beta plus cos space alpha close parentheses over denominator cos squared alpha space cos squared beta end fraction end cell end table$ .