Pertanyaan

Sederhanakanlah. e. sin A ⋅ tan A + cos A

Sederhanakanlah.

e. $sin A \cdot tan A + cos A$

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Jawaban terverifikasi

Jawaban

.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank tan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank secan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table

Pembahasan

Ingat! Sehingga diperoleh Dengan demikian .

Ingat!

$tan space A equals fraction numerator sin space A over denominator cos space A end fraction$
$secan space A equals fraction numerator 1 over denominator cos space A end fraction$

Sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space A space times tan space A plus cos space A end cell equals cell sin space A space times fraction numerator sin space A over denominator cos space A end fraction plus cos space A end cell row blank equals cell fraction numerator sin squared A over denominator cos space A end fraction plus cos space A end cell row blank equals cell fraction numerator sin squared A plus cos squared A over denominator cos space A end fraction end cell row blank equals cell fraction numerator 1 over denominator cos space A end fraction end cell row blank equals cell secan space A end cell end table$

Dengan demikian .