Okay, I think you mean GCF, (Greatest Common Factor). :P Factors are the numbers multiplied by each other to get a number.
Example: Factors of 6: 1, 2, 3, 6. 1 times 6 = 6, and 2 times 3 = 6.
So, now you must find the GREATEST COMMON FACTOR IN VALUE between 40 and 50.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, and 40.
Factors of 50: 1, 2, 5, 10, 25, and 50.
Which is the factor that BOTH 40 and 50 have?
Well, they have a lot of the same factors, but we need to find the GREATEST ONE in value. (By value, I mean the biggest number).
So it's clear that the factor 10 is the greatest common factor, soooooo.....
Final Answer: GCM = 10. :-)
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Now before taking the inverse tangent of both sides, recall that
where
is any integer. This means that when taking the inverse tangent of
, instead of just
, we would end up with
So after doing so in the equation above, we're left with
As
can be any integer, including negative integers, we can simply write