Pertanyaan

Hitunglah nilai-nilai dari bentuk berikut. e. tan 4 3 π + cos 4 5 π + sin 2 π tan 4 π + sin 3 2 π + cos 3 4 π

Hitunglah nilai-nilai dari bentuk berikut.

e. $\frac{tan \frac{π}{4} + sin \frac{2 π}{3} + cos \frac{4 π}{3}}{tan \frac{3 π}{4} + cos \frac{5 π}{4} + sin \frac{π}{2}}$

R. Novianto

Master Teacher

Mahasiswa/Alumni Universitas Tanjungpura Pontianak

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style space space space fraction numerator tan begin display style straight pi over 4 end style plus sin begin display style fraction numerator 2 straight pi over denominator 3 end fraction end style plus cos begin display style fraction numerator 4 straight pi over denominator 3 end fraction end style over denominator tan begin display style fraction numerator 3 straight pi over denominator 4 end fraction end style plus cos begin display style fraction numerator 5 straight pi over denominator 4 end fraction end style plus sin begin display style straight pi over 2 end style end fraction equals fraction numerator tan space 45 degree plus sin space 120 degree plus cos space 240 degree over denominator tan space 135 degree plus cos space 225 degree plus sin space 90 degree end fraction space equals fraction numerator tan space 45 degree plus sin space open parentheses 180 minus 60 close parentheses degree plus cos space open parentheses 180 plus 60 close parentheses degree over denominator tan space open parentheses 180 minus 45 close parentheses degree plus cos space open parentheses 180 plus 45 close parentheses degree plus sin space 90 degree end fraction equals space fraction numerator tan space 45 degree plus sin space 60 degree plus open parentheses negative cos space 60 degree close parentheses over denominator open parentheses negative tan space 45 degree close parentheses plus open parentheses negative cos space 45 degree close parentheses plus sin space 90 degree end fraction equals space fraction numerator 1 plus begin display style 1 half end style square root of 3 minus begin display style 1 half end style over denominator negative 1 minus begin display style 1 half end style square root of 2 plus 1 end fraction equals space fraction numerator begin display style 1 half end style plus begin display style 1 half end style square root of 3 over denominator negative begin display style 1 half end style square root of 2 end fraction equals negative fraction numerator 1 plus square root of 3 over denominator square root of 2 end fraction end style$