Question

Is $\csc^{-1}(u)=\tan^{-1}\left(\frac{1}{\sqrt{u^2-1}}\right)$ a valid trigonometric identity?

score 79 · Answer 1 · 2026-04-15 20:03:42

79

Views

Is $\csc^{-1}(u)=\tan^{-1}\left(\frac{1}{\sqrt{u^2-1}}\right)$ a valid trigonometric identity?

Published on 15 Apr 2026 - 20:03

score 52 · Answer 2 · 2026-04-11 10:09:40

52

Views

Horizontal\Vertical truncation lemmas

Published on 11 Apr 2026 - 10:09

score 65 · Answer 3 · 2026-04-24 02:20:23

65

Views

Putnam 2018 B2 - Proving that a complex function has no roots in the unit disk

Published on 24 Apr 2026 - 2:20

score 97 · Answer 4 · 2026-05-11 04:36:13

97

Views

Weak convergence in a reproducing kernel Hilbert space is equal to pointwise convergence of the sequence

Published on 11 May 2026 - 4:36

score 162 · Answer 5 · 2026-04-11 14:52:00

162

Views

Finding the height of the building using Trigonometric Ratio.

Published on 11 Apr 2026 - 14:52

score 67 · Answer 6 · 2026-04-14 07:42:48

67

Views

Alternative Proof to Theorem 6.12c) of Baby Rudin

Published on 14 Apr 2026 - 7:42

score 107 · Answer 7 · 2026-04-17 14:19:00

107

Views

A better sufficient condition for differentiability. Does my proposition A hold?

Published on 17 Apr 2026 - 14:19

score 46 · Answer 8 · 2026-05-15 17:07:12

46

Views

Brezis' exercise 6.21.1: prove that $N$ is finite-dimensional

Published on 15 May 2026 - 17:07

score 53 · Answer 9 · 2026-04-14 05:26:04

53

Views

Uniqueness of sequence limits

Published on 14 Apr 2026 - 5:26

score 44 · Answer 10 · 2026-04-15 16:34:07

44

Views

Prove that $R/U$ forms a group under addition defined in $R.$ ($R$ and $U$ is a ring and ideal respectively)

Published on 15 Apr 2026 - 16:34

score 84 · Answer 11 · 2026-04-12 02:47:33

84

Views

Prove that if x in A the x is not in B, when A is a subset of C and B and C are disjoint

Published on 12 Apr 2026 - 2:47

score 44 · Answer 12 · 2026-04-09 09:25:24

44

Views

Show that the difference between consecutive perfect squares is odd.

Published on 09 Apr 2026 - 9:25

score 30 · Answer 13 · 2026-05-15 18:15:21

30

Views

Brezis' exercise 6.21.3: prove that there is $K_2 >0$ such that $K_2 d(u, N) \le p (u)$ for all $u \in V$

Published on 15 May 2026 - 18:15

score 44 · Answer 14 · 2026-04-12 03:07:50

44

Views

Proof attempt that products of closed sets are closed in the product topology.

Published on 12 Apr 2026 - 3:07

score 144 · Answer 15 · 2026-04-16 18:06:54

144

Views

For which $c$ do the surfaces $x^2+y^2+z^2=1$ and $x^2+y^2+c=z$ intersect tangentially? Orthogonally?

Published on 16 Apr 2026 - 18:06

List Question

Is $\csc^{-1}(u)=\tan^{-1}\left(\frac{1}{\sqrt{u^2-1}}\right)$ a valid trigonometric identity?

Horizontal\Vertical truncation lemmas

Putnam 2018 B2 - Proving that a complex function has no roots in the unit disk

Weak convergence in a reproducing kernel Hilbert space is equal to pointwise convergence of the sequence

Finding the height of the building using Trigonometric Ratio.

Alternative Proof to Theorem 6.12c) of Baby Rudin

A better sufficient condition for differentiability. Does my proposition A hold?

Brezis' exercise 6.21.1: prove that $N$ is finite-dimensional

Uniqueness of sequence limits

Prove that $R/U$ forms a group under addition defined in $R.$ ($R$ and $U$ is a ring and ideal respectively)

Prove that if x in A the x is not in B, when A is a subset of C and B and C are disjoint

Show that the difference between consecutive perfect squares is odd.

Brezis' exercise 6.21.3: prove that there is $K_2 >0$ such that $K_2 d(u, N) \le p (u)$ for all $u \in V$

Proof attempt that products of closed sets are closed in the product topology.

For which $c$ do the surfaces $x^2+y^2+z^2=1$ and $x^2+y^2+c=z$ intersect tangentially? Orthogonally?

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