From 8780abdfebf194ee8a5fd8d67738852a3007fc05 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Sun, 17 Mar 2019 18:57:10 +1100 Subject: [PATCH] [spec] format images for circular functions notes --- spec/circ.md | 13 +++++++++---- spec/circ.pdf | Bin 83509 -> 256154 bytes 2 files changed, 9 insertions(+), 4 deletions(-) diff --git a/spec/circ.md b/spec/circ.md index a5dae02..da26542 100644 --- a/spec/circ.md +++ b/spec/circ.md @@ -1,3 +1,10 @@ +--- +geometry: margin=1.9cm +columns: 2 +graphics: yes +author: Andrew Lorimer +--- + # Circular functions Period of $a\sin(bx)$ is ${2\pi} \over b$ @@ -18,10 +25,9 @@ $$\operatorname{cosec} \theta = {1 \over \sin \theta} \> \vert \> \sin \theta \n - **Turning points** at $\theta = {{(2n + 1)\pi} \over 2} \> \vert \> n \in \mathbb{Z}$ - **Asymptotes** at $\theta = n\pi \> \vert \> n \in \mathbb{Z}$ - ### Secant -!()[graphics/sec.png] +![](graphics/sec.png) $$\operatorname{sec} \theta = {1 \over \cos \theta} \> \vert \> \cos \theta \ne 0$$ @@ -30,10 +36,9 @@ $$\operatorname{sec} \theta = {1 \over \cos \theta} \> \vert \> \cos \theta \ne - **Turning points** at $\theta = n\pi \> \vert \> n \in \mathbb{Z}$ - **Asymptotes** at $\theta = {{(2n + 1) \pi} \over 2} \> \vert \> n \in \mathbb{Z}$ - ### Cotangent -!()[graphics/cot.png] +![](graphics/cot.png) $$\operatorname{cot} \theta = {{\cos \theta} \over {\sin \theta}} \> \vert \> \sin \theta \ne 0$$ diff --git a/spec/circ.pdf b/spec/circ.pdf index bb10a7f885ffb7257115d76d3bcedaafa262ae9f..9c51bfa0b017a610b0d3a18a9cbbd9a4f97af69e 100644 GIT binary patch literal 256154 zcma&ObzGF&_CJ0+Dj=dG9qNFBh$xMKGJv!Sk^&;#-5|^$aCDF^MM427>5^_ZLyEL? zNH@|w)NemC9^-z#fBfzr_vK~wvtz}3z1P}n-)jmIQfyr8w~4QHbl3M2^WI_LWU$dU zCq^KMIb@BjO&m=bxOu=|asMIakTSD$G_q&lkh0WsG?FkfurV|u78WLUaI`nlvm$mG zT+(Q=XOz59xqlPOa=P<&A&0E(KPRq^okGk1d&x74>u(u4!#n?av}Y_xs@QKaH>0n= z3>{Q;V%xJvz6--HtWWe5M^nj?UAfJ{K1%)YLWZSY$+eb}iS@Ewqiy5D^0I2J?=wl9 z=G#Z^4uv{a{LUNB5u?@E@cA0jl+taRu7s)R`?VR=9+3`$8q2CfNMCP@3XVF<{VLS! 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