List questions from fractions

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How to prove that a length is equal to the inradius of a triangle

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What formula or rule has been used here?

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How to find the greatest value of this expression?

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Calculate $\lim_{x\to0}\frac{\sin ax\cos bx}{\sin cx}$

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Convert from float to integer

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Evaluate: $\lim_{\theta \to \frac {\pi}{4}} \dfrac {\cos \theta - \sin \theta}{\theta - \frac {\pi}{4}}$

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Find all possible values of $x+y+z$.

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Prove that $\frac{1}{15}<\frac{1}{2}\frac{3}{4} \dots *\frac{99}{100}<\frac{1}{10}$

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Show that $b\ge f_{n+1}$.

Published on 21 Jul 2017 - 0:49

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Fraction inequality

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175

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If $\frac{\sin(x)}{a}=\frac{\cos(x)}{b}$ then $a\sin(2x)+b\cos(2x)=?$

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166

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why does multiplying a fraction e.g. enumerator/divisor with divisor/enumerator give 1?

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(Quickly) finding the smallest fraction

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Simplify $\cot(2\alpha)-\cot(\alpha)$ without using the double angle formula.

Published on 26 Jul 2017 - 6:12

List Question

If $R$ is a subring of a field $F$, then the ring of fractions is embedded in $F$

How to prove that a length is equal to the inradius of a triangle

What formula or rule has been used here?

How to find the greatest value of this expression?

Calculate $\lim_{x\to0}\frac{\sin ax\cos bx}{\sin cx}$

Convert from float to integer

Evaluate: $\lim_{\theta \to \frac {\pi}{4}} \dfrac {\cos \theta - \sin \theta}{\theta - \frac {\pi}{4}}$

Find all possible values of $x+y+z$.

Prove that $\frac{1}{15}<\frac{1}{2}\frac{3}{4} \dots *\frac{99}{100}<\frac{1}{10}$

Show that $b\ge f_{n+1}$.

Fraction inequality

If $\frac{\sin(x)}{a}=\frac{\cos(x)}{b}$ then $a\sin(2x)+b\cos(2x)=?$

why does multiplying a fraction e.g. enumerator/divisor with divisor/enumerator give 1?

(Quickly) finding the smallest fraction

Simplify $\cot(2\alpha)-\cot(\alpha)$ without using the double angle formula.

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