Question

Tan of difference of two angles given as sum of sines and cosines

score 90 · Answer 1 · 2026-03-22 22:03:43

90

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Tan of difference of two angles given as sum of sines and cosines

Published on 22 Mar 2026 - 22:03

score 555 · Answer 2 · 2026-03-17 00:48:52

555

Views

Symmetric polynomial written in elementary polynomials

Published on 17 Mar 2026 - 0:48

score 150 · Answer 3 · 2026-03-24 11:05:55

150

Views

Interesting inequalities

Published on 24 Mar 2026 - 11:05

score 188 · Answer 4 · 2026-03-22 10:30:22

188

Views

Prove that $\frac{1}{\sqrt{ab+a+2}}+ \frac{1}{\sqrt{bc+b+2}}+ \frac{1}{\sqrt{ac+c+2}} \leq \frac{3}{2}$

Published on 22 Mar 2026 - 10:30

score 202 · Answer 5 · 2026-03-20 10:03:50

202

Views

Radical of Der(L) where L is a Lie Algebra

Published on 20 Mar 2026 - 10:03

score 123 · Answer 6 · 2026-03-22 02:50:55

123

Views

Find local extrema $f(x_1,x_2, \ldots , x_n) = \sqrt{(x_1+x_2+\ldots x_n-a)(a-x_1)(a-x_2)\cdots (a-x_n)}$

Published on 22 Mar 2026 - 2:50

score 68 · Answer 7 · 2026-03-20 07:53:10

68

Views

A non-geometrical approach to this surds question

Published on 20 Mar 2026 - 7:53

score 569 · Answer 8 · 2026-03-17 02:19:48

569

Views

If $\sqrt{9−8\cos 40^{\circ}} = a +b\sec 40^{\circ}$, then what is $|a+b|$?

Published on 17 Mar 2026 - 2:19

score 3.1k · Answer 9 · 2026-03-22 06:11:50

3.1k

Views

Finding minimum value of $\sqrt{x^2+y^2}$

Published on 22 Mar 2026 - 6:11

score 695 · Answer 10 · 2026-03-17 10:07:51

695

Views

Polynomial Equation Problem with Complex Roots

Published on 17 Mar 2026 - 10:07

score 107 · Answer 11 · 2026-03-17 13:06:45

107

Views

Proving that inequalities $\|a\|_{\infty} \leq \|a\|_2 \leq \sqrt{n} \|a\|_{\infty}$ are true and sharp.

Published on 17 Mar 2026 - 13:06

score 85 · Answer 12 · 2026-03-19 23:34:38

85

Views

convergence of the series $\sum_{n=1}^\infty \frac {\sqrt{n^2+1}-n}{\sqrt{n}}$

Published on 19 Mar 2026 - 23:34

score 130 · Answer 13 · 2026-03-20 03:45:05

130

Views

Solve $\sin^{-1}x+\sin^{-1}(1-x)=\cos^{-1}x$ and avoid extra solutions while squaring

Published on 20 Mar 2026 - 3:45

score 163 · Answer 14 · 2026-03-20 04:30:44

163

Views

Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Published on 20 Mar 2026 - 4:30

score 248 · Answer 15 · 2026-03-20 01:04:21

248

Views

Integral part of $\sqrt{2018+\sqrt{2018+\sqrt{...+2018}}}$

Published on 20 Mar 2026 - 1:04

List Question

Tan of difference of two angles given as sum of sines and cosines

Symmetric polynomial written in elementary polynomials

Interesting inequalities

Prove that $\frac{1}{\sqrt{ab+a+2}}+ \frac{1}{\sqrt{bc+b+2}}+ \frac{1}{\sqrt{ac+c+2}} \leq \frac{3}{2}$

Radical of Der(L) where L is a Lie Algebra

Find local extrema $f(x_1,x_2, \ldots , x_n) = \sqrt{(x_1+x_2+\ldots x_n-a)(a-x_1)(a-x_2)\cdots (a-x_n)}$

A non-geometrical approach to this surds question

If $\sqrt{9−8\cos 40^{\circ}} = a +b\sec 40^{\circ}$, then what is $|a+b|$?

Finding minimum value of $\sqrt{x^2+y^2}$

Polynomial Equation Problem with Complex Roots

Proving that inequalities $\|a\|_{\infty} \leq \|a\|_2 \leq \sqrt{n} \|a\|_{\infty}$ are true and sharp.

convergence of the series $\sum_{n=1}^\infty \frac {\sqrt{n^2+1}-n}{\sqrt{n}}$

Solve $\sin^{-1}x+\sin^{-1}(1-x)=\cos^{-1}x$ and avoid extra solutions while squaring

Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Integral part of $\sqrt{2018+\sqrt{2018+\sqrt{...+2018}}}$

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