From 8dd761c0847eead2d8997c4f9e54138e5feeddf5 Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Mon, 30 Sep 2024 11:13:24 -0600 Subject: [PATCH] vault backup: 2024-09-30 11:13:24 --- education/math/MATH1060 (trig)/Graphing.md | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index f0f31f1..ed2bbe2 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -55,3 +55,10 @@ $$ y = cot(x) $$ ![Graph of cotangent](assets/graphcot.svg) To find relative points to create the above graph, you can use the unit circle: + +If $cot(x) = \frac{cos(x)}{sin(x)}$, then: + +| $sin(0) = 0$ | $cos(0) = 1$ | $cot(0) = \frac{sin(0)}{cos(0)} = \frac{1}{0} = DNF$ | +| ----------------------------------------- | ----------------------------------------- | ---------------------------------------------------------------- | +| $sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$ | $cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$ | $cot(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2} = 1$ | +| $sin(\frac{\pi}{2}) = 1$ | $cos(\frac{\pi}{2}) = 0$ | $tan(\frac{\pi}{2}) = \frac{1}{0} = DNF$ |