Jika diketahui sin A=43​,tentukan cos A, tan A, sec A, cosec A, dan cot A!

Pertanyaan

Jika diketahui text sin A= end text 3 over 4,tentukan text cos A end text, text tan A end text, text sec A end text, text cosec A end text, dan text cot A end text!

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

 text cos A= end text 1 fourth square root of 7text tan A= end text 3 over 7 square root of 7text sec A= end text 4 over 7 square root of 7text cosec A= end text 4 over 3, dan text cot A= end text 1 third square root of 7 

Pembahasan

Jika diketahui text sin A= end text 3 over 4, maka sudut A dapat digambarkan sebagai berikut.

cos text  A end text equals fraction numerator text sisi samping end text over denominator text sisi miring end text end fraction equals fraction numerator square root of 7 over denominator 4 end fraction

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space text A end text end cell equals cell fraction numerator text sisi depan end text over denominator text sisi samping end text end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction equals 3 over 7 square root of 7 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell text sec A end text end cell equals cell fraction numerator 1 over denominator cos space A end fraction end cell row blank equals cell fraction numerator 4 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction equals 4 over 7 square root of 7 end cell end table

text cosec A= end text fraction numerator 1 over denominator text sin A end text end fraction equals 4 over 3

text cot A= end text fraction numerator 1 over denominator text tan A end text end fraction equals fraction numerator square root of 7 over denominator 3 end fraction

Dengan demikian, text cos A= end text 1 fourth square root of 7text tan A= end text 3 over 7 square root of 7text sec A= end text 4 over 7 square root of 7text cosec A= end text 4 over 3, dan text cot A= end text 1 third square root of 7 

104

4.5 (2 rating)

Sabrina Victory Hana Klau

Ini yang aku cari!

Pertanyaan serupa

Diketahui tan α=21​5​ , hitunglah sin α, cos α, sec α, cosec α, dan cotan α!

36

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

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia