From 93c11efe55ab01fff6d54386d5e8152bcd749964 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Fri, 15 Mar 2019 12:43:23 +1100 Subject: [PATCH] [spec] corrections in double angle formulas --- spec/circ.md | 4 +++- spec/circ.pdf | Bin 112777 -> 83509 bytes 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/spec/circ.md b/spec/circ.md index c3c5b17..a5dae02 100644 --- a/spec/circ.md +++ b/spec/circ.md @@ -77,7 +77,9 @@ $$\tan(x \pm y) = {{\tan x \pm \tan y} \over {1 \mp \tan x \tan y}}$$ ## Double angle formulas \begin{equation}\begin{split} - \cos 2x = \cos^2 x = \sin^2 x + \cos 2x &= \cos^2 x - \sin^2 x \\ + & = 1 - 2\sin^2 x \\ + & = 2 \cos^2 x -1 \end{split}\end{equation} $$\sin 2x = 2 \sin x \cos x$$ diff --git a/spec/circ.pdf b/spec/circ.pdf index 4f0cd6684892577815600400a32e5cd5a1a10076..bb10a7f885ffb7257115d76d3bcedaafa262ae9f 100644 GIT binary patch literal 83509 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