Question #e5a65

1 Answer
Jan 12, 2017

#5^(th)# x-intercept is at #x=5# [or at #(x,y)=(5,0)#]

Explanation:

The graph of #sin(theta)# crosses the X-axis at every integer multiple of #pi#
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The #5^(th)# time (after and excluding the origin) the sine curve crosses the X-axis will be at #theta=5pi#

Replacing #theta# with #xpi#
we have that the #5^(th)# crossing will happen when #xpi=5pi#;
that is, when #x=5#