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Tentukanlah nilai-nilai perbandingan trigonometri berikut! 1 − 2 sin 2 6 0 ∘ cos 6 0 ∘ × sin 6 0 ∘

Tentukanlah nilai-nilai perbandingan trigonometri berikut!

$\frac{cos 6 0 ^{\circ} \times sin 6 0 ^{\circ}}{1 - 2 sin ^{2} 6 0 ^{\circ}}$

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator 1 minus 2 space sin squared space 60 degree end fraction end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table end style$ .

Pembahasan

Ingat! Sehingga, Dengan demikian, .

Ingat!

Sehingga,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator 1 minus 2 space sin squared space 60 degree end fraction end cell equals cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator cos space 2 times 60 degree end fraction end cell row blank equals cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator cos space 120 degree end fraction end cell row blank equals cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator negative cos space 60 degree end fraction end cell row blank equals cell negative sin space 60 degree end cell row blank equals cell negative 1 half square root of 3 end cell end table end style$

Dengan demikian, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator cos space 60 degree cross times space sin space 60 degree over denominator 1 minus 2 space sin squared space 60 degree end fraction end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table end style$ .