Kumpulan Soal SMA, MA, SMK Dan Pembahasannya: Trigonometri

<div style="text-align: justify;">
<b>Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya</b> ini merupakan contoh soal terbaru ya<a href="https://soalkelas-xxixii.blogspot.com/">n</a>g akan saya bagikan bagi Bapak/Ibu yang mengampu mata pelajaran Matematika Kelas XI SMA/MA. <b>Trigonometri</b> terdiri dari sinus (sin), cosinus (cos), tangens ( tan), cotangens (cot), secan (sec) dan cosecan (cosec). Trigonometri merupakan nilai perbandingan yang didefinisikan pada koordinat kartesius atau segitiga siku-siku.<br />
<br /></div>
<div style="text-align: justify;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://soalkelas-xxixii.blogspot.com/2018/09/soal-matematika-trigonometri-sesi-1-kelas-11.html"><img alt="Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya" border="0" data-original-height="163" data-original-width="309" height="211" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio8kxQyx3jjAiTd_4Ip4zGt8HTVc8ogkaJtlmUDgyB3yaReLE2UOBXHur8BiADKgnNHrDlo57G60AYj44tuOuzx-GYqeVzmzlw0nTK6eyNIpdNexgBFOFiOBO5y-1uwjkXrOL-fkfk8z8h/s400/trigonometri+2.png" title="Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya" width="400" /></a></div>
Jika trigonometri didefinisikan dalam segitiga siku-siku, maka definisinya adalah sebagai berikut:</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: center;">
<div style="text-align: left;">
<a href="https://kuncijawabansoalmatematika.blogspot.com/2017/09/soal-ulangan-harian-trigonometri-sesi-1.html" target="_blank"><img alt="Trigonometri" border="0" data-original-height="165" data-original-width="313" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhE8U_yEb4kn-XyPBWwEGR8CvoxGiaxvBCp7x-nYMMU-wWNzQbw2sZuEk3GZUWgiQWveB76VuNkPgU2lIptmOM1C6wMOr0uwdsANPuwAjCDtfMP2p8EmlbqSMx2f9ez1GZDuGIG5ZupK55r/s1600/trigonometri.png" title="Trigonometri" /></a></div>
</div>
<div style="text-align: left;">
<img border="0" src="data:image/png;base64,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" /></div>
<div style="text-align: left;">
<br />
<h3 style="background-color: white; border: 0px; color: #505050; font-family: Oswald, "Bebas Neue", Bebas, "Arial Narrow", sans-serif; font-size: 19.2px; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal; margin: 10px 0px; padding: 0px; position: relative; text-align: center; vertical-align: baseline; word-wrap: break-word;">
Soal Ulangan Harian Matematika Kelas 11 Trigonometri Sesi 1 Kurikulum 2013 dan Pembahasannya</h3>
</div>
<b><u>Soal Nomor 1</u></b><br />
<div style="text-align: justify;">
Pada segitiga ABC diketahui panjang sisi AB = 2 cm, AC = 3 cm dan BC = 2 cm. Nilai Sin A = ...</div>
A. 1/3 √3<br />
B. 1/3 √5<br />
C. 1/4 √7<br />
D. 1/3 √11<br />
E. 1/4 √15<br />
<br />
<b>Pembahasan</b><br />
<div style="text-align: justify;">
AB = c = 2 dan AC = b = 3 serta BC = a = 2, maka dengan menggunakan aturan cosinus:</div>
<div class="MsoNormal">
a<sup>2</sup> = b<sup>2</sup> + c<sup>2</sup> – 2 . b . c Cos A<o:p></o:p></div>
<div class="MsoNormal">
2<sup>2</sup> = 3<sup>2</sup> + 2<sup>2</sup> – 2 . 3 . 2 Cos A<o:p></o:p></div>
4 = 9 + 4 - 12 Cos A<br />
12 Cos A = 9<br />
Cos A = 9 / 12 = 3 / 4<br />
Sehingga sin A = (√(4<sup>2</sup> - 3<sup>2</sup>) / 4 = √7/4<br />
<u><i>Jawaban: C</i></u><br />
<br />
<b><u>Soal Nomor 2</u></b><br />
Himpunan penyelesaian dari persamaan cos 2x + 3 sin x + 1 = 0, untuk 0 < x < 2π adalah...<br />
A. (8/6  π , 10/12 π)<br />
B. (7/6  π , 11/12 π)<br />
C. (5/6  π , 11/12 π)<br />
D. (2/6  π , 4/6  π)<br />
E. (1/6  π , 5/6  π)<br />
<br />
<b>Pembahasan</b><br />
cos 2x + 3 sin x + 1 = 0<br />
(1 - 2 sin x<sup>2</sup>) + 3 sin x + 1 = 0<br />
- 2 sin x<sup>2</sup> + 3 sin x +2 = 0<br />
2 sin x<sup>2</sup> - 3 sin x - 2 = 0<br />
(2 sin x + 1) (sin x - 2) = 0<br />
Maka:<br />
2 sin x + 1 = 0 maka sin x = - 1/2<br />
Diperoleh x = 7/6 π dan x = 11/12 π<br />
Dan<br />
sin x - 2 = 0 maka sin x = 2 (tidak mungkin dicari x)<br />
HP = (7/6 π , 11/12 π)<br />
<u><i>Jawaban: B</i></u><br />
<br />
<b><u>Soal Nomor 3</u></b><br />
<div>
Diketahui segitiga ABC dengan sudut A sebesar 30<sup>o</sup> , panjang AB 2 cm dan panjang AC 6 cm. Luas segitiga ABC adalah...</div>
<div>
A. 6 cm<sup>2</sup></div>
<div>
B. 12 cm<sup>2</sup></div>
<div>
C. 3 cm<sup>2</sup></div>
<div>
D. 3√3 cm<sup>2</sup></div>
<div>
E. 6√3 cm<sup>2</sup></div>
<div class="MsoNormal">
<o:p></o:p></div>
<div class="MsoNormal">
<o:p></o:p></div>
<div class="MsoNormal">
<o:p></o:p></div>
<div>
<br /></div>
<div>
<b>Pembahasan</b></div>
<div>
Luas segitiga ABC = 1/2 (AB) (BC) sin A</div>
<div>
Luas segitiga ABC = 1/2 (2) (6) (1/2) = 3 cm<sup>2</sup></div>
<u><i>Jawaban: C</i></u><br />
<div style="text-align: justify;">
<span style="color: #444444;"><b><br /></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<h3>
<b><a href="https://drive.google.com/open?id=0B_gnTBYeDPAbUGhhN0YzQ3psQlE" target="_blank">Soal Matematika Trigonometri Sesi  Kelas 11</a></b></h3>
<h3>
<a href="https://drive.google.com/open?id=0B_gnTBYeDPAbeXA5R3IwV0hSNTA" target="_blank"><b>Pembahasan </b><b>Soal Matematika Trigonometri Sesi 1 Kelas 11</b></a></h3>
</div>
<br />
<script src="https://cdn.rawgit.com/D-dig/js/gh-pages/sitemap3.js"></script>

<br />
<h4>
 Download Juga !!! </h4>
<ul>

Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya ini merupakan contoh soal terbaru ya n g akan saya bagikan b...

Baca selengkapnya »