Pertanyaan

Hitunglah nilai-nilai dari bentuk berikut. d. sec 3 2 π − 2 cot 4 3 π − csc 4 5 π

Hitunglah nilai-nilai dari bentuk berikut.

d. $sec \frac{2 π}{3} - 2 cot \frac{3 π}{4} - csc \frac{5 π}{4}$

R. Novianto

Master Teacher

Mahasiswa/Alumni Universitas Tanjungpura Pontianak

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style sec fraction numerator 2 straight pi over denominator 3 end fraction minus 2 space cot space fraction numerator 3 straight pi over denominator 4 end fraction plus space csc space fraction numerator 5 straight pi over denominator 4 end fraction equals space sec space 120 degree minus 2 space cot space 135 degree plus csc space 225 degree equals space fraction numerator 1 over denominator cos space open parentheses 180 degree minus 60 degree close parentheses end fraction minus 2 times fraction numerator 1 over denominator tan open parentheses 180 degree minus 45 degree close parentheses end fraction plus fraction numerator 1 over denominator sin space open parentheses 180 degree plus 45 degree close parentheses end fraction equals space fraction numerator 1 over denominator negative cos space 60 end fraction minus 2 times fraction numerator 1 over denominator negative tan space 45 degree space end fraction plus fraction numerator 1 over denominator tan space 45 degree end fraction equals space minus fraction numerator 1 over denominator begin display style bevelled 1 half end style end fraction plus 2 over 1 plus 1 over 1 equals space minus 2 plus 2 plus 1 equals space 1 end style$