### Questions (31)

 34 A way to directly see that the interior angles of triangle sum to $180^\circ$? 3 Are there other self-similar functions like $e^x$ and $\cos x$? [duplicate] 3 A way to directly see the Inscribed angle theorem? (i.e. central angle is twice the inscribed angle) 2 Technique for simplifying, e.g. $\sqrt{ 8 - 4\sqrt{3}}$ to $\sqrt{6} - \sqrt{2}$ 2 prove $x+y=a, xy=b$ uniquely determine $x,y$

### Reputation (831)

 +20 Technique for simplifying, e.g. $\sqrt{ 8 - 4\sqrt{3}}$ to $\sqrt{6} - \sqrt{2}$ +10 Deeper meaning and intuition behind $\frac{x}{1+x^2}$ having the same values for $x$ and for $\frac{1}{x}$ +10 How do you revise material that you already half-know, without getting bored and demotivated? +10 A way to directly see the Inscribed angle theorem? (i.e. central angle is twice the inscribed angle)

 2 How do you revise material that you already half-know, without getting bored and demotivated? 2 A way to directly see that the interior angles of triangle sum to $180^\circ$? 1 Deeper meaning and intuition behind $\frac{x}{1+x^2}$ having the same values for $x$ and for $\frac{1}{x}$ 1 Are two numbers, $a$ and $b$, uniquely determined by their addition $a+b$ and product $a b$? 1 How to improve at handling the (mild) complexity of high school trig?

### Tags (36)

 4 soft-question × 6 1 arithmetic × 5 3 algebra-precalculus × 22 1 trigonometry × 3 3 visualization × 9 1 abstract-algebra × 2 3 geometry × 8 1 intuition 3 self-learning × 3 0 polynomials × 7