A geometry problem by Rajat Garg
Geometry
Level
2
At how many points do and intersect?
One
Zero
Infinitely many times
Two
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The trick of this problem if for people to say one as it is (0,0). However, x always intersects Tan(x) since y=x domain is always infinity as well as Tan(x) domain is all values. Another idea is to use algebra.
x = Tan(x)
x = Arctan (x)
If sub into one angle or an x value, it will always produce a different tan inverse value every time.