diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index e5803fd..7d7a4e1 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -88,7 +88,15 @@ $A$, $B$, $C$, and $D$ will have similar meanings to the secant functions as the # Cosecant $$ y = \csc(x) $$ +![Graph of cosecant](assets/graphsec.jpg) +$$ \csc(x) = \frac{1}{\sin(x)} $$ + +Because cosecant is the reciprocal of sine, when $\sin{x} = 0$, then cosecant is undefined. $|\sin$| is never *greater than* 1, so secant is never *less than* 1 in absolute value. When the graph of cosine crosses the x axis, an asymptote for a matching graph of secant will appear there. + +The general form of secant is: +$$ y = A\sec(B{x} - C) + D $$ +$A$, $B$, $C$, and $D$ will have similar meanings to the secant functions as they did to the sine and cosine functions. # Examples > Given $-2\tan(\pi*x + \pi) - 1$ diff --git a/education/math/MATH1060 (trig)/assets/graphcsc.jpg b/education/math/MATH1060 (trig)/assets/graphcsc.jpg new file mode 100644 index 0000000..8941980 Binary files /dev/null and b/education/math/MATH1060 (trig)/assets/graphcsc.jpg differ