Cot (60°) = 1/tan (60°) = 1/sqrt{3}

[xyz_1965]

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}?

 

[HOI]

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!

 

[xyz_1965]

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.