Question

In triangle $ABC,$ we have $\angle B = 2\angle A.$ Prove that $b^2 = a(a+c).$

score 51 · Answer 1 · 2018-07-19 22:36:16

51

Views

In triangle $ABC,$ we have $\angle B = 2\angle A.$ Prove that $b^2 = a(a+c).$

Published on 19 Jul 2018 - 22:36

score 461 · Answer 2 · 2026-04-06 15:59:15

461

Views

How do I prove $x - \frac{x^3}3 < \arctan x < x$?

Published on 06 Apr 2026 - 15:59

score 565 · Answer 3 · 2026-03-25 11:12:07

565

Views

Formula for the offset surface of an ellipsoid?

Published on 25 Mar 2026 - 11:12

score 345 · Answer 4 · 2026-03-25 21:49:45

345

Views

Check proof that $\tan(x+\sin(x))$ is periodic and find its period

Published on 25 Mar 2026 - 21:49

score 99 · Answer 5 · 2026-04-06 08:03:17

99

Views

Check proof that $\sin\sqrt{|x|}$ is not periodic

Published on 06 Apr 2026 - 8:03

score 89 · Answer 6 · 2018-07-20 14:17:44

89

Views

Determining $\sin(2x)$

Published on 20 Jul 2018 - 14:17

score 173 · Answer 7 · 2018-07-20 15:58:13

173

Views

A. Find the height of the mountain; B. Find the distance to the nearest kilometre stone

Published on 20 Jul 2018 - 15:58

score 602 · Answer 8 · 2018-07-20 15:59:08

602

Views

Rotate vector around point with angle amount

Published on 20 Jul 2018 - 15:59

score 216 · Answer 9 · 2026-04-06 08:03:22

216

Views

knowing: $\cos x+\sin x=\frac{5}{4}$, obtain: $\cos(4x)$

Published on 06 Apr 2026 - 8:03

score 33 · Answer 10 · 2026-04-06 08:04:31

33

Views

Check proof that $h(x) = a\sin{p_1x\over q_1}+b\cos{p_2x \over q_2}$ is periodic and find its period

Published on 06 Apr 2026 - 8:04

score 53 · Answer 11 · 2018-07-20 18:39:58

53

Views

Two variable trigonometric inequality

Published on 20 Jul 2018 - 18:39

score 60 · Answer 12 · 2026-04-03 09:11:00

60

Views

Prove that, the map $x\mapsto=[x]\cos^2{\pi x}$ is discontinuous at every integer points.

Published on 03 Apr 2026 - 9:11

score 46 · Answer 13 · 2026-03-25 11:14:46

46

Views

Sum of angles $m\angle (x, y)(0, 0)(0, 1)$ for $0 \le x, y \le 5$

Published on 25 Mar 2026 - 11:14

score 1.2k · Answer 14 · 2018-07-20 21:51:52

1.2k

Views

Generalization of the sum of angles formula for any number of angles

Published on 20 Jul 2018 - 21:51

score 455 · Answer 15 · 2026-03-25 16:08:30

455

Views

Is it true that $\forall \epsilon>0, \exists \text{ infinitely many } n \in \mathbb{N}, s.t. |\sin(n) - 1| < \epsilon$?

Published on 25 Mar 2026 - 16:08

List Question

In triangle $ABC,$ we have $\angle B = 2\angle A.$ Prove that $b^2 = a(a+c).$

How do I prove $x - \frac{x^3}3 < \arctan x < x$?

Formula for the offset surface of an ellipsoid?

Check proof that $\tan(x+\sin(x))$ is periodic and find its period

Check proof that $\sin\sqrt{|x|}$ is not periodic

Determining $\sin(2x)$

A. Find the height of the mountain; B. Find the distance to the nearest kilometre stone

Rotate vector around point with angle amount

knowing: $\cos x+\sin x=\frac{5}{4}$, obtain: $\cos(4x)$

Check proof that $h(x) = a\sin{p_1x\over q_1}+b\cos{p_2x \over q_2}$ is periodic and find its period

Two variable trigonometric inequality

Prove that, the map $x\mapsto=[x]\cos^2{\pi x}$ is discontinuous at every integer points.

Sum of angles $m\angle (x, y)(0, 0)(0, 1)$ for $0 \le x, y \le 5$

Generalization of the sum of angles formula for any number of angles

Is it true that $\forall \epsilon>0, \exists \text{ infinitely many } n \in \mathbb{N}, s.t. |\sin(n) - 1| < \epsilon$?

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