Pertanyaan

Nilai dari cos 5 0 ∘ + cos 4 0 ∘ sin 5 0 ∘ + sin 4 0 ∘ adalah ...

Nilai dari $\frac{sin 5 0 ^{\circ} + sin 4 0 ^{\circ}}{cos 5 0 ^{\circ} + cos 4 0 ^{\circ}}$ adalah ... $\;$

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Habis dalam

Klaim

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 50 degree plus sin space 40 degree over denominator cos space 50 degree plus cos space 40 degree end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table$ .

Pembahasan

Ingat! Maka, Jadi, .

Ingat!

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space alpha plus sin space beta end cell equals cell 2 sin space open parentheses fraction numerator alpha plus beta over denominator 2 end fraction close parentheses times cos space open parentheses fraction numerator alpha minus beta over denominator 2 end fraction close parentheses end cell row cell cos space alpha plus cos space beta end cell equals cell 2 cos space open parentheses fraction numerator alpha plus beta over denominator 2 end fraction close parentheses times cos space open parentheses fraction numerator alpha minus beta over denominator 2 end fraction close parentheses end cell end table$

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 50 degree plus sin space 40 degree over denominator cos space 50 degree plus cos space 40 degree end fraction end cell equals cell fraction numerator 2 sin space open parentheses fraction numerator 50 degree plus 40 degree over denominator 2 end fraction close parentheses times cos space open parentheses fraction numerator 50 degree minus 40 degree over denominator 2 end fraction close parentheses over denominator 2 cos space open parentheses fraction numerator 50 degree plus 40 degree over denominator 2 end fraction close parentheses times cos space open parentheses fraction numerator 50 degree minus 40 degree over denominator 2 end fraction close parentheses end fraction end cell row blank equals cell fraction numerator sin space 45 degree over denominator cos space 45 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 2 over denominator begin display style 1 half end style square root of 2 end fraction end cell row blank equals 1 end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 50 degree plus sin space 40 degree over denominator cos space 50 degree plus cos space 40 degree end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table$ .

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