soal un smk 2018: Trigonometri

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<b>Soal Matematika Trigonometri Sesi II Kelas 11 Kurikulum 2013 dan Pembahasannya</b> ini merupakan contoh soal terbaru yang akan saya bagikan bagi Bapak/Ibu yang mengampu mata pelajaran Matematika Kelas XI SMA/MA. Trigonometri terdiri dari sinus (sin), cosinus (cos), tangens ( tan), cotangens (cot), secan (sec) dan cosecan (cosec). Trigonometri merupakan nilai perbandingan yang didefinisikan pada koordinat kartesius a<a href="https://un-usbn-smk.blogspot.com/">t</a>au segitiga siku-siku.</div>
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<a href="https://un-usbn-smk.blogspot.com/2018/07/soal-matematika-trigonometri-2-kelas-11-dan-pembahasannya.html"><img alt="Soal Matematika Trigonometri Sesi II Kelas 11 Kurikulum 2013 dan Pembahasannya" height="169" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw0q7cJ7QRjdmwoPCdDin5bN79uFTm7AkfGLB1PIY3wANMsnSwWJQh-Brw8ZuJtDObs1k2rtKs2bl_QQvSnP3ucRrobmXXhD632mwBExumTwt3E8i-U9hhVf9vtAYXQY528cQOQCsyIgp2/s320/trigonometri+2.png" title="Soal Matematika Trigonometri Sesi II Kelas 11 Kurikulum 2013 dan Pembahasannya" width="320" /></a></div>
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<span style="border: 0px; color: blue; font: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline; word-wrap: break-word;"><span style="border: 0px; font: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline; word-wrap: break-word;">Soal Ulangan Harian Matematika Kelas 11 Trigonometri Sesi II</span></span></h3>
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<b><u><br /></u></b><b><u>Soal Nomor 1</u></b></div>
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Pada segitiga ABC lancip, diketahui cos A = 4/5 dan sin B = 12/13 maka sin C = ...</div>
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<a href="https://kuncijawabansoalmatematika.blogspot.com/2017/11/soal-ulangan-harian-trigonometri-sesi-ii-sma.html" target="_blank"><img border="0" data-original-height="136" data-original-width="120" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyOMhkzL9pi7EkR38P5FbWhurzYcHUlmeVkg2DTfNDJIieylEfyTBHryAPVyYqBap9i1aIWlAHwmbdKU3qUXXdVxABgYII6eWL70DgGjZFNxGFhnesQ6gn-HQZTJHyU5hTcXIJTovRmo0E/s1600/sesgitiga+1.png" /></a></div>
<b>Pembahasan:</b></div>
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Jika cos A = 4/5, maka: sin A = 3/5 (didapat dari segitiga siku-siku berikut ini: </div>
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(ingat ya, bahwa cos itu samping/miring dan sin itu depan/miring)</div>
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Jika sin B = 12/13 maka cos B = 5/13 (didapat dari segitiga siku-siku berikut ini:</div>
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<a href="https://kuncijawabansoalmatematika.blogspot.com/2017/11/soal-ulangan-harian-trigonometri-sesi-ii-sma.html" target="_blank"><img border="0" data-original-height="126" data-original-width="123" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgddqkYU-afGG8Ky5IQmeRM3LGWKAga2JUmxKb96I3qMiBft0ib0XUBmvNk2izxo_uqPfmk7HNNghHqzxFHmYqRxitZI79NEWdQ-4AbvayJOgNDL00UdqwXPqI0eUbOMCsHrnWyDjpt3aOW/s1600/segitiga+2.png" /></a></div>
Maka, sin C = sin A . cos B + sin B . cos A<br />
                    = 3/5 . 5/13 + 12/13 . 4/5<br />
                    = 15/65 + 48/65<br />
                    = 63/65<br />
<b style="text-align: justify;"><u><br /></u></b> <b style="text-align: justify;"><u>Soal Nomor 2</u></b><br />
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Diketahui sin A = 12/13 dan cos B = 3/5, <A dan <B lancip. Nilai tan (A – B) = ...</div>
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<b>Pembahasan:</b></div>
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Sin A = 12/13, maka cos A = 5/13 (carilah dengan segitiga siku-siku seperti soal nomor 1)</div>
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Cos B = 3/5, maka sin B = 4/5 (carilah dengan segitiga siku-siku seperti soal nomor 1)</div>
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<a href="https://kuncijawabansoalmatematika.blogspot.com/2017/11/soal-ulangan-harian-trigonometri-sesi-ii-sma.html" target="_blank"><img border="0" data-original-height="317" data-original-width="212" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHPkHV2Dgf58BqJLZSBKkMlCO4vBoz6T80l89SJ0OzkcapahPhekJaxe0ATFD5j4gvo0MqVqhqA94dsTf-oNt4D25ZHd0UKv9Gue-Xd001pQLoAcUnh5iIXI0RO3Deg2GfxwsT7yDNnvOK/s1600/tan+a.png" /></a></div>
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Soal Matematika Trigonometri Sesi II Kelas 11 Kurikulum 2013 dan Pembahasannya ini merupakan contoh soal terbaru yang akan saya bagikan ba...

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<b><a href="https://un-usbn-smk.blogspot.com/">Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya</a></b> ini merupakan contoh soal terbaru yang 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 />
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<a href="https://un-usbn-smk.blogspot.com/2018/07/soal-matematika-trigonometri-kelas11-dan-pembahasannya-1.html"><img alt="Soal Ulangan Harian Trigonometri Sesi 1 - Matematika SMA Kelas XI Kurikulum dan Pembahasannya" border="0" data-original-height="163" data-original-width="309" height="211" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw0q7cJ7QRjdmwoPCdDin5bN79uFTm7AkfGLB1PIY3wANMsnSwWJQh-Brw8ZuJtDObs1k2rtKs2bl_QQvSnP3ucRrobmXXhD632mwBExumTwt3E8i-U9hhVf9vtAYXQY528cQOQCsyIgp2/s400/trigonometri+2.png" title="Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya" width="400" /></a></div>
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Jika trigonometri didefinisikan dalam segitiga siku-siku, maka definisinya adalah sebagai berikut:</div>
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<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/AVvXsEhVXSn5jPv8xsgXYNEGWVl0KQ24wyOnxglobnYkr5TjCaOxhkzjTsk4Lv_4wSd92JekfmnFGr83-8pyv2WF4Wkp31_MVM15xzdV8U_H7nXGSL0b_5LPrU5FVsXJIKMTJpHIuQNsk1F7foXe/s1600/trigonometri.png" title="Trigonometri" /></a></div>
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" 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<h3 style="text-align: center;">
<span style="color: blue;">Soal Ulangan Harian Matematika Kelas 11 Trigonometri Sesi 1</span></h3>
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<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 />
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<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>
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Dapatkan Soal lebih lengkapnya dengan mendownloadnya melaluil link yang sudah saya sediakan dibawah ini.<br />
<br /></div>
<div style="text-align: justify;">
<h3>
<b><a href="https://drive.google.com/open?id=0B_gnTBYeDPAbUGhhN0YzQ3psQlE" rel="nofollow" target="_blank">Soal Matematika Trigonometri Sesi 1 Kelas 11</a></b></h3>
<h3>
<a href="https://drive.google.com/open?id=0B_gnTBYeDPAbeXA5R3IwV0hSNTA" rel="nofollow" target="_blank"><b>Pembahasan </b><b>Soal Matematika Trigonometri Sesi 1 Kelas 11</b></a></h3>
</div>
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<h4>
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2017/2018 Kelas 11|XI KTSP Kurikulum 2013 Pembahasannya Peminatan IPA SMA Soal Trigonometri Ulangan Harian Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya

Soal Matematika Trigonometri Sesi 1 Kelas 11 Kurikulum 2013 dan Pembahasannya ini merupakan contoh soal terbaru yang akan saya bagikan bag...

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