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cot (60°)

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xyz_1965

Member
Jul 26, 2020
81
I know that cot (60°) = 1/tan (60°) = 1/sqrt{3}.

Why can't we just leave it as it is? I guess my question is more about algebra than trig.

Yes, my algebra 2 days are far behind. However, back in my algebra 2 days, I never quite understood why math teachers have a problem with square roots in the denominator of a fraction.

What's so bad about a (number)/sqrt{number}?
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
428
It's not the worst thing in the world but it is easier to add or subtract fractions with integer denominators.

However, there are times when it is a good idea to rationalize the numerator. It is a good idea to know how to do it either way!
 
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xyz_1965

Member
Jul 26, 2020
81
It's not the worst thing in the world but it is easier to add or subtract fractions with integer denominators.

However, there are times when it is a good idea to rationalize the numerator. It is a good idea to know how to do it either way!
Understood. Thanks.