diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index 2d5b086..e5803fd 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -76,11 +76,18 @@ Given the form $y = A\tan(Bx - C) + D$ (the same applies for $\cot$) - The vertical shift is $D$ # Secant -$$ y = \sec{x} $$ +$$ y = \sec(x) $$ ![Graph of secant](assets/graphsec.jpg) $$ sec(x) = \frac{1}{\cos{x}} $$ -Because secant is the reciprocal of cosine, when $\cos{x} = 0$, then secant is undefined. $ +Because secant is the reciprocal of cosine, when $\cos{x} = 0$, then secant is undefined. $|\cos$| 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. + +# Cosecant +$$ y = \csc(x) $$ # Examples > Given $-2\tan(\pi*x + \pi) - 1$