features of asymptotes on tan graphs

diff --git a/methods/circ-functions.md b/methods/circ-functions.md
index 3bbe1c238fc68a6543734b9d89b464b7438565e5..f30ed7adc4874089ba307799e81c327921756838 100644 (file)
--- a/methods/circ-functions.md
+++ b/methods/circ-functions.md
@@ -24,7 +24,6 @@ Range is $[-b+c, b+c]$;
 
 Graph of $\cos(x)$ starts at $(0,1)$. Graph of $\sin(x)$ starts at $(0,0)$.
 
 
 Graph of $\cos(x)$ starts at $(0,1)$. Graph of $\sin(x)$ starts at $(0,0)$.
 

-<<<<<<< HEAD

 **Mean / equilibrium:** line that the graph oscillates around ($y=d$)
 
 ## Solving trig equations
 **Mean / equilibrium:** line that the graph oscillates around ($y=d$)
 
 ## Solving trig equations


@@ -37,7 +36,7 @@ $\sin2\theta={\sqrt{3}\over2}, \quad \theta \in[0, 2\pi] \quad(\therefore 2\thet
 $2\theta=\sin^{-1}{\sqrt{3} \over 2}$
 $2\theta={\pi\over 3}, {2\pi \over 3}, {7\pi \over 3}, {8\pi \over 3}$
 $\therefore \theta = {\pi \over 6}, {\pi \over 3}, {7 \pi \over 6}, {4\pi \over 3}$
 $2\theta=\sin^{-1}{\sqrt{3} \over 2}$
 $2\theta={\pi\over 3}, {2\pi \over 3}, {7\pi \over 3}, {8\pi \over 3}$
 $\therefore \theta = {\pi \over 6}, {\pi \over 3}, {7 \pi \over 6}, {4\pi \over 3}$

-=======
+

 ### Amplitude
 
 Amplitude of $a$ means graph oscillates between $+a$ and $-a$ in $y$-axis
 ### Amplitude
 
 Amplitude of $a$ means graph oscillates between $+a$ and $-a$ in $y$-axis


@@ -86,5 +85,5 @@ $n$ is $y$-dilation ($\equiv$ amplitude)
 period $T$ is $\pi \over n$
 range is $R$
 roots at $x={k\pi \over n}$
 period $T$ is $\pi \over n$
 range is $R$
 roots at $x={k\pi \over n}$

-asymptotes at $x={{(2k+1)\pi}\over 2},\quad k \in \mathbb{Z}$
->>>>>>> 924c0548b3e7564d4015e879c56a46a5606807fe
+asymptotes at $x={{(2k+1)\pi}\over 2n},\quad k \in \mathbb{Z}$
+**Asymptotes should always have equations and arrow pointing up**