Basically, I'm given the equation: y= 5csc(7x) and I'm being asked for one x= asymptote.
How would I go about solving this without a calculator?
edit: accidentally mistyped the title as secant. Should be cosecant.
Basically, I'm given the equation: y= 5csc(7x) and I'm being asked for one x= asymptote.
How would I go about solving this without a calculator?
edit: accidentally mistyped the title as secant. Should be cosecant.
$\displaystyle cosec(x)=\frac{1}{sin(x)}$ so it has asymptotes where $\displaystyle sin(x)=0$.
$\displaystyle sin(x)=0$ at $\displaystyle x=n\pi,\ \ n\in J$
Hence, for your question you can solve $\displaystyle 7x=n\pi$ to find the asymptotes.
e.g. where $\displaystyle n=1$ there is an asymptote at $\displaystyle \frac{\pi}{7}$