Jawaban dari "Tentukan nilai dari [tex]\displaystyle \frac{\sin^4 2022^\circ+\cos^4 2022^\circ+3\sin^2 2022^\circ..."

Jika ente lagi mencari jawaban atas soal Tentukan nilai dari
[tex]\displaystyle \frac\sin^4 2022^\circ+\cos^4 2022^\circ+3\sin^2 2022^\circ \cos^2 2022^\circ\sin^6 2022^\circ+\cos^6 2022^\circ+4\sin^2 2022^\circ \cos^2 2022^\circ[/tex] ente berada di website yang tepat.
Kami mempunyai 1 jawaban mengenai Tentukan nilai dari
[tex]\displaystyle \frac\sin^4 2022^\circ+\cos^4 2022^\circ+3\sin^2 2022^\circ \cos^2 2022^\circ\sin^6 2022^\circ+\cos^6 2022^\circ+4\sin^2 2022^\circ \cos^2 2022^\circ[/tex]. Silakan baca jawaban lebih lanjut disini:

Tentukan Nilai Dari
[tex]\displaystyle \frac\sin^4 2022^\circ+\cos^4 2022^\circ+3\sin^2 2022^\circ \cos^2 2022^\circ\sin^6 2022^\circ+\cos^6 2022^\circ+4\sin^2 2022^\circ \cos^2 2022^\circ[/tex]

Jawaban: #1:

Hasil dari [tex]\displaystyle\fracsin^42022^0+cos^42022^0+3sin^22022^0cos^22022^0sin^62022^0+cos^62022^0+4sin^22022^0cos^22022^0[/tex] adalah 1.

PEMBAHASAN

Trigonometri merupakan ilmu matematika yang mempelajari hubungan antara panjang dan sudut pada segitiga. Dalam trigonometri terdapat banyak rumus identitas, antara lain :

[tex]sin^2\theta+cos^2\theta=1[/tex]

[tex]sin2\theta=2sin\theta cos\theta[/tex]

[tex]cos2\theta=cos^2\theta-sin^2\theta[/tex]

.

DIKETAHUI

[tex]\displaystyle\fracsin^42022^0+cos^42022^0+3sin^22022^0cos^22022^0sin^62022^0+cos^62022^0+4sin^22022^0cos^22022^0=[/tex]

.

DITANYA

Tentukan hasilnya.

.

PENYELESAIAN

Misal a = 2022⁰

[tex]\displaystyle\fracsin^42022^0+cos^42022^0+3sin^22022^0cos^22022^0sin^62022^0+cos^62022^0+4sin^22022^0cos^22022^0[/tex]

[tex]\displaystyle=\fracsin^4a+cos^4a+3sin^2acos^2asin^6a+cos^6a+4sin^2acos^2a[/tex]

[tex]\displaystyle=\frac(sin^2a)^2+(cos^2a)^2+3sin^2acos^2a(sin^2a)^3+(cos^2a)^3+4sin^2acos^2a[/tex]

[tex]---------------[/tex]

Gunakan rumus :

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex]x^2+y^2=(x+y)^2-2xy[/tex]

.

[tex](x+y)^3=x^3+3x^2y+3xy^2+y^3[/tex]

[tex](x+y)^3=x^3+y^3+3xy(x+y)[/tex]

[tex]x^3+y^3=(x+y)^3-3xy(x+y)[/tex]

[tex]---------------[/tex]

[tex]\displaystyle=\frac[(sin^2a+cos^2a)^2-2sin^2acos^2a]+3sin^2acos^2a[(sin^2a+cos^2a)^3-3sin^2acos^2a(sin^2a+cos^2a)]+4sin^2acos^2a[/tex]

[tex]\displaystyle=\frac[(1)^2-2sin^2acos^2a]+3sin^2acos^2a[(1)^3-3sin^2acos^2a(1)]+4sin^2acos^2a[/tex]

[tex]\displaystyle=\frac1+sin^2acos^2a1+sin^2acos^2a[/tex]

[tex]\displaystyle=1[/tex]

.

KESIMPULAN

Hasil dari [tex]\displaystyle\fracsin^42022^0+cos^42022^0+3sin^22022^0cos^22022^0sin^62022^0+cos^62022^0+4sin^22022^0cos^22022^0[/tex] adalah 1.

.

PELAJARI LEBIH LANJUT

1. Membuktikan identitas trigonometri : https://brainly.co.id/tugas/29135063
2. Perbandingan trigonometri : https://brainly.co.id/tugas/29090996
3. Persamaan trigonometri : https://brainly.co.id/tugas/34382463

.

DETAIL JAWABAN

Kelas : 10

Mapel: Matematika

Bab : Trigonometri

Kode Kategorisasi: 10.2.7

rmcsport.bfmtv.com

www.molotov.tv

croatie argentine molotov

www.haititempo.com

statistiques croatie russie

sports.bwin.fr

croatie décisif avenir

www.senenews.com

senenews

www.linternaute.com

www.scoopnest.com

suivez croatie

www.onzemondial.com

croatie argentine albiceleste

www.ibuzz365.com

www.rtl.be

mondial danemark argentine croatie rtl argentin attaquant pétersbourg buteur

raimpress.blogspot.com

croatie argentine sport365 assomme qualifie 8emes

www.onzemondial.com

argentine croatie

fr.news.yahoo.com

rmcsport.bfmtv.com

croatie allume

www.foot01.com

cdm argentine croatie humilie messi

www.lalsace.fr

coupedumonde2019.net

croatie nuls croates oublier échec argentins pénalty iconsport sauront

www.linfo.re

www.telestar.fr

wallabet.fr

pronostic croatie

www.igfm.sn

croatie igfm lionel corrige

www.ouest-france.fr

www.telestar.fr

www.juno7.ht

rennes.maville.com

rmcsport.bfmtv.com

www.seneweb.com

compos croatie

www.yoursoccerdose.com

argentina croatia yoursoccerdose match vs

www.youtube.com

www.topmercato.com

madeinfoot.ouest-france.fr

officielles compos croatie cdm

www.youtube.com

cup argentina

le10sport.com

rezonodwes.com

www.youtube.com

argentine

Cote argentine – croatie. Foot mondial 2018. Cup argentina