||
Membaca
SMK Teknologi dan Rekayasa

soal 96 Rumus Trigonometri Jumlah-Selisih Sudut


Nilai\ dari\ sin\ 15^{\circ}\ adalah\ ....\\\\a.\ \ \frac{1}{4}(\sqrt{6}-\sqrt{2})\ \ \ \ \ \ \ \ \ \ b.\ \ \frac{1}{4}(\sqrt{3}-\sqrt{2})\ \ \ \ \ \ \ \ \ \ c.\ \ \sqrt{6}-\sqrt{2}\\\\d.\ \ \frac{1}{4}(\sqrt{2}-\sqrt{3})\ \ \ \ \ \ \ \ \ \ e.\ \ \frac{1}{4}(\sqrt{2}-\sqrt{6})
Jawaban: a

sin\ (\alpha -\beta )=sin\ \alpha \ cos\ \beta -cos\ \alpha \ sin\ \beta
\begin{array}{rcl}sin\ 15^{\circ}&=&sin\ (45-30)^{\circ}\\\\&=&sin\ 45^{\circ}\ cos\ 30^{\circ}-cos\ 45^{\circ}\ sin 30^{\circ}\\\\&=&\frac{1}{2}\sqrt{2}\ \times \ \frac{1}{2}\sqrt{3}\ -\ \frac{1}{2}\sqrt{2}\ \times \ \frac{1}{2}\\\\&=&\frac{1}{4}\sqrt{6}\ -\ \frac{1}{4}\sqrt{2}\\\\&=&\frac{1}{4}(\sqrt{6}\ -\ \sqrt{2})\end{array}

Iklan

About Kalakay

Guru Matematika SMK

Diskusi

4 respons untuk ‘soal 96 Rumus Trigonometri Jumlah-Selisih Sudut

  1. ternyata belajar matematika itu mengasikkan

    Posted by mala | 27 April 2012, 10:47 PM
  2. This is really fascinating, You are an overly professional blogger.
    I’ve joined your feed and look forward to seeking more of your great post. Additionally, I’ve shared your web
    site in my social networks

    Posted by mobile application development | 20 Juli 2013, 10:25 AM

Tinggalkan Balasan

Isikan data di bawah atau klik salah satu ikon untuk log in:

Logo WordPress.com

You are commenting using your WordPress.com account. Logout /  Ubah )

Foto Google+

You are commenting using your Google+ account. Logout /  Ubah )

Gambar Twitter

You are commenting using your Twitter account. Logout /  Ubah )

Foto Facebook

You are commenting using your Facebook account. Logout /  Ubah )

w

Connecting to %s

RSS Pusat Matematika

RSS BSNP

  • Sebuah galat telah terjadi; umpan tersebut kemungkinan sedang anjlok. Coba lagi nanti.
Iklan
%d blogger menyukai ini: