Roboguru

Hitunglah nilai dari bentuk

Pertanyaan

Hitunglah nilai dari bentuk 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   

Pembahasan Soal:

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  

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved