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Nilai dari cos 105∘+cos 15∘sin 75∘−sin 15∘​=...

Pertanyaan

Nilai dari begin mathsize 14px style fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction equals... end style  

  1. ...space space 

  2. ...space space 

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

nilai daribegin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction end cell end table end style adalah 1.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction end cell equals cell fraction numerator 2 space cos space 45 degree space sin space 30 degree over denominator 2 space cos space 60 degree space cos space 45 degree end fraction end cell row blank equals cell fraction numerator 2 times begin display style 1 half end style square root of 2 times begin display style 1 half end style over denominator 2 times begin display style 1 half end style times begin display style 1 half end style square root of 2 end fraction end cell row blank equals 1 end table end style

Jadi, nilai daribegin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction end cell end table end style adalah 1.

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Sederhanakanlah. g. 2 sin 105∘⋅cos 75∘

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