# Question #e5a65

Jan 12, 2017

${5}^{t h}$ x-intercept is at $x = 5$ [or at $\left(x , y\right) = \left(5 , 0\right)$]

#### Explanation:

The graph of $\sin \left(\theta\right)$ crosses the X-axis at every integer multiple of $\pi$

The ${5}^{t h}$ time (after and excluding the origin) the sine curve crosses the X-axis will be at $\theta = 5 \pi$

Replacing $\theta$ with $x \pi$
we have that the ${5}^{t h}$ crossing will happen when $x \pi = 5 \pi$;
that is, when $x = 5$