Iklan

Iklan

Pertanyaan

Tunjukkan bahwa: secan 2 α + cosec 2 α = secan 2 α ⋅ cosec 2 α

Tunjukkan bahwa:

Iklan

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa secan squared alpha plus cosec squared alpha equals secan squared alpha times cosec squared alpha.

Iklan

Pembahasan

Ingat! Akan ditunjukkan bahwa Perhatikan perhitungan berikut ini; Dengan demikian terbukti bahwa .

Ingat!

  • secan space alpha equals fraction numerator 1 over denominator cos space alpha end fraction
  • cosec space straight alpha equals fraction numerator 1 over denominator sin space alpha end fraction
  • sin squared alpha plus cos squared alpha equals 1

Akan ditunjukkan bahwa

secan squared alpha plus cosec squared alpha equals secan squared alpha times cosec squared alpha

Perhatikan perhitungan berikut ini;

table attributes columnalign right center left columnspacing 0px end attributes row cell secan squared alpha plus cosec squared alpha end cell equals cell fraction numerator 1 over denominator cos squared alpha end fraction plus fraction numerator 1 over denominator sin squared alpha end fraction end cell row blank equals cell fraction numerator sin squared alpha plus cos squared alpha over denominator sin squared alpha space cos squared alpha end fraction end cell row blank equals cell fraction numerator 1 over denominator sin squared alpha space cos squared alpha end fraction end cell row blank equals cell fraction numerator 1 over denominator sin squared alpha end fraction times fraction numerator 1 over denominator cos squared alpha end fraction end cell row blank equals cell cosec squared alpha times secan squared alpha end cell row blank equals cell secan squared alpha times cosec squared alpha end cell end table

Dengan demikian terbukti bahwa secan squared alpha plus cosec squared alpha equals secan squared alpha times cosec squared alpha.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Iklan

Iklan

Pertanyaan serupa

Sederhanakanlah. j. secan x ⋅ cosec x − cotan x

75

5.0

Jawaban terverifikasi

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia