Fungsi trigonometri: Perbedaan antara revisi
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</math>
== Fungsi terbalik ==
==Inverse functions==
{{Main|Fungsi trigonometri terbalik}}
<!--Fungsi trigonometri bersifat periodik, dan karenanya bukan [[fungsi injeksi|injeksi]], jadi tegaskan pada nilai yang tidak memiliki [[fungsi terbalik]]. Namun, pada setiap interval di mana fungsi trigonometri [[monotonik]], seseorang dapat mendefinisikan fungsi invers, dan ini mendefinisikan fungsi trigonometri terbalik sebagai [[fungsi multinilai]]. To define a true inverse function, one must restrict the domain to an interval where the function is monotonic, and is thus [[bijection|bijective]] from this interval to its image by the function. The common choice for this interval, called the set of [[principal value]]s, is given in the following table. As usual, the inverse trigonometric functions are denoted with the prefix "arc" before the name or its abbreviation of the function.-->
:<math>
\begin{array}{|c|c|c|c|}
\hline
\text{Fungsi} & \text{Definisi} & \text{Domain} &\text{Kumpulan nilai pokok}
\\
\hline
y = \arcsin x & \sin y = x & -1 \le x \le 1 & -\frac{\pi}{2} \le y \le \frac{\pi}{2} \\
y = \arccos x & \cos y = x & -1 \le x \le 1 & 0 \le y \le \pi \\
y = \arctan x & \tan y = x & -\infty \le x \le \infty & -\frac{\pi}{2} < y < \frac{\pi}{2} \\
y = \arccot x & \cot y = x & -\infty \le x \le \infty & 0 < y < \pi \\
y = \arcsec x & \sec y = x & x<-1 \text{ or } x>1 & 0 \le y \le \pi,\; y \ne \frac{\pi}{2} \\
y = \arccsc x & \csc y = x & x<-1 \text{ or } x>1 & -\frac{\pi}{2} \le y \le \frac{\pi}{2},\; y \ne 0
\\\hline
\end{array}
</math>
<!--The notations sin<sup>−1,</sup> cos<sup>−1,</sup> etc. are often used for arcsin and arccos, etc. When this notation is used, inverse functions could be confused with multiplicative inverses. The notation with the "arc" prefix avoids such a confusion, though "arcsec" for arcsecant can be confused with "[[arcsecond]]".
Just like the sine and cosine, the inverse trigonometric functions can also be expressed in terms of infinite series. They can also be expressed in terms of [[complex logarithm]]s. See [[Inverse trigonometric functions]] for details.-->
== Aplikasi ==
== Sejarah ==
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