Question

Do algebraic curves exclude the whole space? Prove that the locus $y = \sin x$ in $\mathbb R^2$ doesn't lie on any algebraic curve in $\mathbb C^2$

score 71 · Answer 1 · 2026-04-16 13:39:43

71

Views

Do algebraic curves exclude the whole space? Prove that the locus $y = \sin x$ in $\mathbb R^2$ doesn't lie on any algebraic curve in $\mathbb C^2$

Published on 16 Apr 2026 - 13:39

score 70 · Answer 2 · 2026-04-16 17:41:57

70

Views

Why do $4\cdot 2^n\sin\frac{45}{2^n}$, $2\cdot 2^n\sin\frac{90}{2^n}$, and $1\cdot 2^n\sin\frac{180}{2^n}$ all tend to $\pi$?

Published on 16 Apr 2026 - 17:41

score 251 · Answer 3 · 2026-04-08 19:18:01

251

Views

Need Help with Absolute Value Equation involving Trig Function

Published on 08 Apr 2026 - 19:18

score 159 · Answer 4 · 2026-04-16 18:23:21

159

Views

If $-1\leq x, y \leq 1$ and $x\sqrt{1-y^2} + y\sqrt{1-x^2} = 1$, find $x^2+y^2$

Published on 16 Apr 2026 - 18:23

score 175 · Answer 5 · 2026-04-14 06:20:48

175

Views

Point on the square with a circle inscribed inside it

Published on 14 Apr 2026 - 6:20

score 758 · Answer 6 · 2026-04-12 11:58:57

758

Views

Finding the common face of clinging soap bubbles using trigonometric functions of angles

Published on 12 Apr 2026 - 11:58

score 78 · Answer 7 · 2026-04-16 13:01:47

78

Views

Find a decreasing function $f:[0,\infty)\to(0,1]$ with one inflection point satisfying certain properties

Published on 16 Apr 2026 - 13:01

score 599 · Answer 8 · 2026-04-17 09:31:25

599

Views

Laplace transform of square root of a trigonometric function

Published on 17 Apr 2026 - 9:31

score 543 · Answer 9 · 2026-04-11 01:50:22

543

Views

Confusion with Finding Solutions to Trigonometric Problems within a Range

Published on 11 Apr 2026 - 1:50

score 78 · Answer 10 · 2026-04-11 13:24:03

scaling actual dimensions to perspective dimensions (on flat surface)? - does the solution have to use integral/derivative?

score 116 · Answer 11 · 2026-04-15 02:03:36

116

Views

How to find trigonometric limit $ \lim_{x\to π} \frac{\sin x}{x^2 - π^2} $

Published on 15 Apr 2026 - 2:03

score 1.9k · Answer 12 · 2026-04-15 03:53:37

1.9k

Views

Show that base is twice the height if base angles of a triangle are $22.5^\circ$ and $112.5^\circ$

Published on 15 Apr 2026 - 3:53

score 183 · Answer 13 · 2026-04-12 03:05:12

183

Views

Does exponentiation distribute over the multiplication of trigoneomtric functions?

Published on 12 Apr 2026 - 3:05

score 82 · Answer 14 · 2026-04-16 06:26:31

82

Views

geodesic metric in an ellipse

Published on 16 Apr 2026 - 6:26

score 164 · Answer 15 · 2026-04-16 17:23:17

164

Views

Short method to evaluate $\lim_{x\to \frac\pi2} \frac{(1-\tan(\frac x2))(1-\sin(x))}{(1+\tan(\frac x2))(\pi-2x)^3}$?

Published on 16 Apr 2026 - 17:23

List Question

Do algebraic curves exclude the whole space? Prove that the locus $y = \sin x$ in $\mathbb R^2$ doesn't lie on any algebraic curve in $\mathbb C^2$

Why do $4\cdot 2^n\sin\frac{45}{2^n}$, $2\cdot 2^n\sin\frac{90}{2^n}$, and $1\cdot 2^n\sin\frac{180}{2^n}$ all tend to $\pi$?

Need Help with Absolute Value Equation involving Trig Function

If $-1\leq x, y \leq 1$ and $x\sqrt{1-y^2} + y\sqrt{1-x^2} = 1$, find $x^2+y^2$

Point on the square with a circle inscribed inside it

Finding the common face of clinging soap bubbles using trigonometric functions of angles

Find a decreasing function $f:[0,\infty)\to(0,1]$ with one inflection point satisfying certain properties

Laplace transform of square root of a trigonometric function

Confusion with Finding Solutions to Trigonometric Problems within a Range

scaling actual dimensions to perspective dimensions (on flat surface)? - does the solution have to use integral/derivative?

How to find trigonometric limit $ \lim_{x\to π} \frac{\sin x}{x^2 - π^2} $

Show that base is twice the height if base angles of a triangle are $22.5^\circ$ and $112.5^\circ$

Does exponentiation distribute over the multiplication of trigoneomtric functions?

geodesic metric in an ellipse

Short method to evaluate $\lim_{x\to \frac\pi2} \frac{(1-\tan(\frac x2))(1-\sin(x))}{(1+\tan(\frac x2))(\pi-2x)^3}$?

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