Question

proving $\lim\limits_{x\to \infty} x\cos\frac1x=\infty$ without using arithmetic

score 139 · Answer 1 · 2026-04-14 20:33:20

139

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proving $\lim\limits_{x\to \infty} x\cos\frac1x=\infty$ without using arithmetic

Published on 14 Apr 2026 - 20:33

score 563 · Answer 2 · 2026-04-15 18:58:45

563

Views

Prove $\sin^2(x)<\sin(x^2)$ for $0<x<\sqrt{\frac{\pi}{2}}$

Published on 15 Apr 2026 - 18:58

score 61 · Answer 3 · 2026-04-11 20:53:14

61

Views

Solve triangle given point and angle

Published on 11 Apr 2026 - 20:53

score 42 · Answer 4 · 2026-04-14 13:14:39

How to determine the coords for the cell that is on the edge of a grid that intersects a line that extends from a source cell at a given angle?

score 682 · Answer 5 · 2026-04-11 13:37:34

682

Views

Limit of floor function and sine function

Published on 11 Apr 2026 - 13:37

score 38 · Answer 6 · 2026-04-11 06:25:13

38

Views

Rotating two objects

Published on 11 Apr 2026 - 6:25

score 51 · Answer 7 · 2026-04-13 02:17:42

51

Views

Trigonometry integration with a bound

Published on 13 Apr 2026 - 2:17

score 44 · Answer 8 · 2026-04-17 14:18:39

44

Views

$-2(\sin x+2\cos 2x)=0$

Published on 17 Apr 2026 - 14:18

score 674 · Answer 9 · 2026-04-16 01:14:36

674

Views

Prove $\frac{\sin\theta}{1+\cos\theta} + \frac{1+\cos\theta}{\sin\theta} = \frac{2}{\sin\theta}$

Published on 16 Apr 2026 - 1:14

score 268 · Answer 10 · 2026-04-15 05:03:08

268

Views

MCA entrance question

Published on 15 Apr 2026 - 5:03

score 6.9k · Answer 11 · 2026-04-15 01:16:20

6.9k

Views

Find a 3D vector given the angles of the axes and a magnitude

Published on 15 Apr 2026 - 1:16

score 91 · Answer 12 · 2026-04-11 08:05:34

91

Views

How does one solve arbitrary polygons, in the same sense as one solves a triangle?

Published on 11 Apr 2026 - 8:05

score 1.3k · Answer 13 · 2026-04-17 07:55:29

1.3k

Views

Find the area of a rhombus ABCD with Side length of 3 and measure of angle ABC of 120.

Published on 17 Apr 2026 - 7:55

score 103 · Answer 14 · 2026-04-16 02:01:31

103

Views

Solve $5\sin^2(x) + \sin(2x) - \cos^2(x) = 1$

Published on 16 Apr 2026 - 2:01

score 11.2k · Answer 15 · 2026-04-15 16:29:30

11.2k

Views

Calculate arc length knowing its subtended chord and circumference diameter

Published on 15 Apr 2026 - 16:29

List Question

proving $\lim\limits_{x\to \infty} x\cos\frac1x=\infty$ without using arithmetic

Prove $\sin^2(x)<\sin(x^2)$ for $0<x<\sqrt{\frac{\pi}{2}}$

Solve triangle given point and angle

How to determine the coords for the cell that is on the edge of a grid that intersects a line that extends from a source cell at a given angle?

Limit of floor function and sine function

Rotating two objects

Trigonometry integration with a bound

$-2(\sin x+2\cos 2x)=0$

Prove $\frac{\sin\theta}{1+\cos\theta} + \frac{1+\cos\theta}{\sin\theta} = \frac{2}{\sin\theta}$

MCA entrance question

Find a 3D vector given the angles of the axes and a magnitude

How does one solve arbitrary polygons, in the same sense as one solves a triangle?

Find the area of a rhombus ABCD with Side length of 3 and measure of angle ABC of 120.

Solve $5\sin^2(x) + \sin(2x) - \cos^2(x) = 1$

Calculate arc length knowing its subtended chord and circumference diameter

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