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title
Mathematic
description
image
site name
author
updated
2025-12-14 00:37:06
raw text
Mathematic Langsung ke konten utama Cari Blog Ini Mathematic Menu Privacy Policy About Sitemap Lainnya… Postingan Rumus Aproksimasi Fungsi Sinus Dapatkan link Facebook Twitter Pinterest Email Aplikasi Lainnya - November 22, 2023 Rumus Aproksimasi Sinus Aproksimasi menggunakan rumus turunan, seperti berikut: $$f(x)=\text{sin }x$$ $$f'(x)=\text{cos }x$$ $$f''(x)=-\text{sin }x$$ $$f^{(3)}(x)=-\text{cos }x$$ $$f^{(4)}(x)=\text{sin }x$$ $$f^{(5)}(x)=\text{cos }x$$ dan seterusnya... Kita ambil pada titik $x=0$ maka: $$f(0)=\text{sin }0=0$$ $$f'(0)=\text{cos }0=1$$ $$f''(0)=-\text{sin }0=0$$ $$f^{(3)}(0)=-\text{cos }0=-1$$ $$f^{(4)}(0)=\text{sin }0=0$$ $$f^{(5)}(0)=\text{cos }0=1$$ dan seterusnya... Ingat rumus aproksimasi umum, untuk titik $x=0$ maka: $$f(x)=\sum^{n}_{k=0}\frac{f^{(k)}(0)}{k!} x^k$$ Keterangan: $!$ adalah operasi faktorial. Sehingga kita peroleh untuk fungsi sinus: $$\text{sin }x=0+x+0-\frac{x^3}{3!}+0+\fra...
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