From b458dcec4ade3425299037077656e78057829e61 Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Mon, 7 Oct 2024 13:23:48 -0600 Subject: [PATCH] vault backup: 2024-10-07 13:23:48 --- education/math/MATH1060 (trig)/Graphing.md | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index 616dbf8..f87c0f7 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -110,8 +110,19 @@ $A$, $B$, $C$, and $D$ will have similar meanings to the cosecant function as th # Inverse Functions For any one to one function $f(x) = y$, a function $f^{-1}(y) = x)$. A function is considered one-to-one if every input only has one output, and every output can only be created from a single input. +The inverse of a trig function is denoted as $sin^{-1}$, or $arcsin$ respectively. + +The inverse of a trig function is **not** the same as the reciprocal of a trig function, $\frac{1}{sin}$ is not the same as $sin + - The *domain* of $f$ is the *range* of $f^{-1}$. - The *range* of $f$ is the *domain* of $f^{-1}$. + +| Trig functions | Inverse trig functions | +| ----------------------------------- | ------------------------------------ | +| Domain: Angle measures | Domain: Ratio of sides of a triangle | +| Range: Ratio of sides of a triangle | Range: Angle Measure | +| | | + # Examples > Given $-2\tan(\pi*x + \pi) - 1$