MHB Cot (60°) = 1/tan (60°) = 1/sqrt{3}

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Cotangent of 60° equals 1/tan(60°), which simplifies to 1/sqrt{3}. The discussion centers on the preference for avoiding square roots in the denominator of fractions, as it can complicate addition or subtraction of fractions. While having a square root in the denominator isn't inherently problematic, rationalizing it can simplify calculations. Understanding both methods is beneficial for mathematical proficiency. Ultimately, the conversation highlights the balance between mathematical conventions and practical ease in calculations.
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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}?
 
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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!
 
Country Boy said:
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.
 
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