Roboguru

Tentukan nilai dari  = ...

Pertanyaan

Tentukan nilai dari 2 space sin space 105 degree space cross times space cos space 15 degree = ... 

Pembahasan Soal:

Ingat 2 sin alpha cos beta equals sin left parenthesis alpha plus beta right parenthesis plus sin left parenthesis alpha minus beta right parenthesis, sehingga diperoleh hasil dari soal tersebut yaitu:

2 space sin space 105 degree space cross times space cos space 15 degree equals sin left parenthesis 105 degree plus 15 degree right parenthesis plus sin left parenthesis 105 degree minus 15 degree right parenthesis equals sin left parenthesis 120 degree right parenthesis plus sin left parenthesis 90 degree right parenthesis equals 1 half square root of 3 plus 1

Dengan demikian, hasil dari 2 space sin space 105 degree space cross times space cos space 15 degree equals 1 half square root of 3 plus 1.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

N. Indah

Mahasiswa/Alumni Universitas Diponegoro

Terakhir diupdate 07 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

Membantu

Kurang Membantu

Apakah pembahasan ini membantu?

Belum menemukan yang kamu cari?

Post pertanyaanmu ke Tanya Jawab, yuk

Mau Bertanya

Pertanyaan yang serupa

Hitung nilai dari  !

Pembahasan Soal:

begin mathsize 14px style s i n space 30 degree plus c o s space 90 degree minus t a n space 45 degree equals 1 half plus 0 minus 1 equals negative 1 half end style    

Roboguru

Jika , maka nilai  adalah ...

Pembahasan Soal:

Ingat!

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator size 12px x size 12px space size 12px cosec to the power of size 12px 2 size 12px 30 size 12px degree size 12px times size 12px secan to the power of size 12px 2 size 12px 45 size 12px degree over denominator size 12px 8 size 12px space size 12px cos to the power of size 12px 2 size 12px 45 size 12px degree size 12px times size 12px sin to the power of size 12px 2 size 12px 60 size 12px degree end fraction end cell size 12px equals cell size 12px tan to the power of size 12px 2 size 12px 60 size 12px degree size 12px minus size 12px tan to the power of size 12px 2 size 12px 30 size 12px degree end cell row cell fraction numerator x left parenthesis 2 squared right parenthesis left parenthesis square root of 2 right parenthesis squared over denominator 8 space left parenthesis begin display style 1 half end style square root of 2 right parenthesis squared left parenthesis begin display style 1 half end style square root of 3 right parenthesis squared end fraction end cell equals cell square root of 3 squared minus left parenthesis 1 third square root of 3 right parenthesis squared space end cell row cell fraction numerator 8 x over denominator 8 left parenthesis begin display style 1 half end style right parenthesis left parenthesis begin display style 3 over 4 end style right parenthesis end fraction end cell equals cell 3 minus 1 third end cell row cell fraction numerator 8 x over denominator 3 end fraction end cell equals cell 8 over 3 end cell row cell 8 x end cell equals 8 row x equals 1 end table    

Jadi, jawaban yang tepat adalah D.

Roboguru

Pembahasan Soal:

begin mathsize 12px style equals sin space 45 to the power of ring operator plus cos space 315 to the power of ring operator plus tan space 150 to the power of ring operator plus tan space 300 to the power of ring operator equals sin space 45 to the power of ring operator plus cos left parenthesis 360 to the power of ring operator minus 45 to the power of ring operator right parenthesis plus tan left parenthesis 180 to the power of ring operator minus 30 to the power of ring operator right parenthesis plus tan left parenthesis 360 to the power of ring operator minus 60 to the power of ring operator right parenthesis equals sin space 45 to the power of ring operator plus left parenthesis negative cos space 45 to the power of ring operator right parenthesis plus left parenthesis negative tan space 30 to the power of ring operator right parenthesis plus left parenthesis negative tan space 60 to the power of ring operator right parenthesis equals 1 half square root of 2 minus 1 half square root of 2 minus 1 third square root of 3 minus square root of 3 equals negative 4 over 3 square root of 3 end style 

Jadi nilai dari sin 45 to the power of ring operator plus cos 315 to the power of ring operator plus tan 150 to the power of ring operator plus tan 300 to the power of ring operator adalah negative 4 over 3 square root of 3 

Roboguru

Nilai  adalah

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 240 degree minus tan space 210 degree end cell equals cell tan left parenthesis 180 plus 60 right parenthesis degree minus tan left parenthesis 180 plus 30 right parenthesis degree end cell row blank equals cell tan space 60 degree minus tan space 30 degree end cell row blank equals cell square root of 3 minus 1 third square root of 3 end cell row blank equals cell 2 over 3 square root of 3 end cell end table end style

Jadi, jawaban yang tepat adalah D.

Roboguru

Dengan menggunakan nilai sudut istimewa. Tentukan nilai dari: b.

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell sin 30 degree plus cos 60 degree plus tan 45 degree end cell equals cell 1 half plus 1 half plus 1 end cell row blank equals 2 end table 

Jadi, nilai dari sin 30 degree plus cos 60 degree plus tan 45 degree adalah 2 

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

Membantu

Kurang Membantu

Apakah pembahasan ini membantu?

Belum menemukan yang kamu cari?

Post pertanyaanmu ke Tanya Jawab, yuk

Mau Bertanya

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