Roboguru

Jika , maka nilai  adalah

Jika begin mathsize 14px style tan space x equals p end style, maka nilai begin mathsize 14px style 2 space sin x space cos x end style adalah begin mathsize 14px style horizontal ellipsis end style  

  1. begin mathsize 14px style fraction numerator p over denominator p squared minus 1 end fraction end style 

  2. begin mathsize 14px style fraction numerator p over denominator p squared plus 1 end fraction end style 

  3. begin mathsize 14px style fraction numerator 2 p over denominator p squared minus 1 end fraction end style  

  4. undefined 

  5. begin mathsize 14px style fraction numerator 2 p over denominator square root of p squared plus 1 end root end fraction end style 

Jawaban:

begin mathsize 14px style tan space x equals p end style, maka sisi depan = p dan sisi samping = 1, sehingga sisi miring = begin mathsize 14px style square root of p squared plus 1 end root end style.

Didapat, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space x end cell equals cell depan over miring equals fraction numerator p over denominator square root of p squared plus 1 end root end fraction end cell row cell cos space x end cell equals cell samping over miring equals fraction numerator 1 over denominator square root of p squared plus 1 end root end fraction end cell row blank blank blank end table end style

Maka,

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 times sin space x times cos space x end cell equals cell 2 times fraction numerator p over denominator square root of p squared plus 1 end root end fraction times fraction numerator 1 over denominator square root of p squared plus 1 end root end fraction end cell row blank equals cell fraction numerator 2 p over denominator p squared plus 1 end fraction end cell end table end style

Jadi, jawaban yang tepat adalah D.

0

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