Question

$\sin x + \sin2x + \sin3x = \cos x + \cos2x + \cos3x$

score 1.3k · Answer 1 · 2026-05-04 14:53:07

1.3k

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$\sin x + \sin2x + \sin3x = \cos x + \cos2x + \cos3x$

Published on 04 May 2026 - 14:53

score 359 · Answer 2 · 2026-05-15 07:41:16

359

Views

Proof by contradiction to prove that (√10)/2 is an irrational number

Published on 15 May 2026 - 7:41

score 142 · Answer 3 · 2026-04-13 18:09:46

142

Views

Proof verification: $f(x) = 3x^5 + {1\over x^3}$ is continuous everywhere over its domain.

Published on 13 Apr 2026 - 18:09

score 467 · Answer 4 · 2026-05-15 06:33:59

467

Views

$G$ is a non-abelian group of order 6 $ \implies G \approx S_3 $. Simpler proof?

Published on 15 May 2026 - 6:33

score 149 · Answer 5 · 2026-04-13 20:06:10

149

Views

Prove that every proper subgroup of $C_{p^\infty}$ is finite cyclic.

Published on 13 Apr 2026 - 20:06

score 245 · Answer 6 · 2026-04-14 22:41:59

245

Views

Proof of one and only one $\text{Base-b}$ representation of a natural number?

Published on 14 Apr 2026 - 22:41

score 70 · Answer 7 · 2026-04-15 21:43:06

70

Views

Epsilon proof for a sequence that converges to 1/2.

Published on 15 Apr 2026 - 21:43

score 44 · Answer 8 · 2026-04-11 04:29:42

44

Views

Setting up a conservation of energy problem

Published on 11 Apr 2026 - 4:29

score 117 · Answer 9 · 2026-04-16 10:45:18

117

Views

Prove (de Morgan 1) $\vdash A\wedge B \equiv \neg (\neg A \vee \neg B)$

Published on 16 Apr 2026 - 10:45

score 48 · Answer 10 · 2026-04-09 14:53:00

48

Views

Wrong proof about dynamical systems?

Published on 09 Apr 2026 - 14:53

score 311 · Answer 11 · 2026-04-11 20:18:19

311

Views

Verifying my proof: "the equation $2x - 6y = 3$ has no integer solution to $x$ and $y$"

Published on 11 Apr 2026 - 20:18

score 96 · Answer 12 · 2026-05-16 23:15:49

96

Views

Can $L_2\circ L_1$ be injective and/or can $L_2\circ L_1$ be surjective?

Published on 16 May 2026 - 23:15

score 53 · Answer 13 · 2026-04-16 01:49:56

53

Views

Show that exists $n\in \Bbb{N}$ such that $\langle A,R \rangle$ and $\langle \Bbb{N}^{<n},\le_{n} \rangle$ are isomorphic.

Published on 16 Apr 2026 - 1:49

score 86 · Answer 14 · 2026-04-17 10:14:29

86

Views

Proof Verification - $|zw| = |z| |w| \in \mathbb{C}$

Published on 17 Apr 2026 - 10:14

score 233 · Answer 15 · 2026-04-13 01:22:38

233

Views

What is the cardinality of the set of subgroups of $(\mathbb R, +)$?

Published on 13 Apr 2026 - 1:22

List Question

$\sin x + \sin2x + \sin3x = \cos x + \cos2x + \cos3x$

Proof by contradiction to prove that (√10)/2 is an irrational number

Proof verification: $f(x) = 3x^5 + {1\over x^3}$ is continuous everywhere over its domain.

$G$ is a non-abelian group of order 6 $ \implies G \approx S_3 $. Simpler proof?

Prove that every proper subgroup of $C_{p^\infty}$ is finite cyclic.

Proof of one and only one $\text{Base-b}$ representation of a natural number?

Epsilon proof for a sequence that converges to 1/2.

Setting up a conservation of energy problem

Prove (de Morgan 1) $\vdash A\wedge B \equiv \neg (\neg A \vee \neg B)$

Wrong proof about dynamical systems?

Verifying my proof: "the equation $2x - 6y = 3$ has no integer solution to $x$ and $y$"

Can $L_2\circ L_1$ be injective and/or can $L_2\circ L_1$ be surjective?

Show that exists $n\in \Bbb{N}$ such that $\langle A,R \rangle$ and $\langle \Bbb{N}^{<n},\le_{n} \rangle$ are isomorphic.

Proof Verification - $|zw| = |z| |w| \in \mathbb{C}$

What is the cardinality of the set of subgroups of $(\mathbb R, +)$?

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