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Hitunglah nilai dari bentuk ( 1 + cos 4 5 ∘ ) sin 4 5 ∘ ​ + cos 4 5 ∘ ( 1 + sin 4 5 ∘ ) ​

Hitunglah nilai dari bentuk    

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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nilai dari adalah

nilai dari fraction numerator sin space 45 degree over denominator left parenthesis 1 plus cos space 45 degree right parenthesis end fraction plus fraction numerator left parenthesis 1 plus sin space 45 degree right parenthesis over denominator cos space 45 degree end fraction adalah 4 square root of 2 plus 4  

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Jadi, nilai dari adalah

fraction numerator sin space 45 degree over denominator left parenthesis 1 plus cos space 45 degree right parenthesis end fraction plus fraction numerator left parenthesis 1 plus sin space 45 degree right parenthesis over denominator cos space 45 degree end fraction equals fraction numerator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator 1 plus begin display style fraction numerator square root of 2 over denominator 2 end fraction end style end fraction plus fraction numerator 1 plus begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style end fraction equals fraction numerator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator 2 plus square root of 2 over denominator 2 end fraction end style end fraction plus fraction numerator begin display style fraction numerator 2 plus square root of 2 over denominator 2 end fraction end style over denominator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style end fraction equals square root of 2 cross times left parenthesis 2 plus square root of 2 right parenthesis plus left parenthesis 2 plus square root of 2 right parenthesis cross times square root of 2 equals 2 square root of 2 plus 2 plus 2 square root of 2 plus 2 equals 4 square root of 2 plus 4 

Jadi, nilai dari fraction numerator sin space 45 degree over denominator left parenthesis 1 plus cos space 45 degree right parenthesis end fraction plus fraction numerator left parenthesis 1 plus sin space 45 degree right parenthesis over denominator cos space 45 degree end fraction adalah 4 square root of 2 plus 4  

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