Question

Proving $\displaystyle \frac{\sin^3x}{x}\lt 0.69$ for any $x\gt 0$

score 169 · Answer 1 · 2026-04-16 23:23:01

169

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Proving $\displaystyle \frac{\sin^3x}{x}\lt 0.69$ for any $x\gt 0$

Published on 16 Apr 2026 - 23:23

score 637 · Answer 2 · 2026-04-16 03:12:55

637

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Eliminate $\theta$ from the equations $\frac{\cos(\alpha-3\theta)}{\cos^3\theta}=\frac{\sin(\alpha-3\theta)}{\sin^3\theta}=m$

Published on 16 Apr 2026 - 3:12

score 117 · Answer 3 · 2026-04-14 23:57:47

117

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Evaluation of a trigonometric series

Published on 14 Apr 2026 - 23:57

score 2.8k · Answer 4 · 2026-04-10 01:22:28

2.8k

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Determining the height of a dome given the width and original length.

Published on 10 Apr 2026 - 1:22

score 169 · Answer 5 · 2026-04-16 00:51:05

169

Views

Laplace Transform with sin and cos

Published on 16 Apr 2026 - 0:51

score 123 · Answer 6 · 2026-04-13 15:04:27

123

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Limit of a recursiv trigonometric function

Published on 13 Apr 2026 - 15:04

score 4.1k · Answer 7 · 2026-04-09 07:26:23

4.1k

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How to normalize a slope?

Published on 09 Apr 2026 - 7:26

score 45 · Answer 8 · 2026-04-16 22:02:34

45

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Prove that $\frac{a - b}{b} = \frac{2 \sin {\frac{1}{2}C} \sin {\frac{1}{2}(A - B)}}{\sin{B}}$

Published on 16 Apr 2026 - 22:02

score 98 · Answer 9 · 2026-04-15 06:24:09

98

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Proof of $\sin2x+x\sin^2x \lt\dfrac{1}{4}x^2+2$

Published on 15 Apr 2026 - 6:24

score 200 · Answer 10 · 2026-04-15 04:10:29

200

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Exact value of cosine function when $x$ is not a multiple of 3 degrees

Published on 15 Apr 2026 - 4:10

score 1.7k · Answer 11 · 2026-04-14 19:11:53

1.7k

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Why does $A\sin{k(x+c)}=a\sin{kx}+b\cos{kx}$ imply that $A=\sqrt{a^2+b^2}$ and $\tan{c}=-b/a$?

Published on 14 Apr 2026 - 19:11

score 5.1k · Answer 12 · 2026-04-15 20:42:27

5.1k

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Why is $\cos(2x)=\cos^2(x)-\sin^2(x)$ and $\sin(2x)=2\sin(x)\cos(x)$?

Published on 15 Apr 2026 - 20:42

score 383 · Answer 13 · 2026-04-14 01:59:54

383

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How to draw the graphs for these functions?

Published on 14 Apr 2026 - 1:59

score 2.3k · Answer 14 · 2026-04-22 15:52:18

2.3k

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Express $\sin 3\theta$ and $\cos 3\theta$ as functions of $\sin \theta$ and $\cos \theta$ using Euler's identity

Published on 22 Apr 2026 - 15:52

score 212 · Answer 15 · 2026-04-14 09:02:57

212

Views

Finding a point in a parallelogram

Published on 14 Apr 2026 - 9:02

List Question

Proving $\displaystyle \frac{\sin^3x}{x}\lt 0.69$ for any $x\gt 0$

Eliminate $\theta$ from the equations $\frac{\cos(\alpha-3\theta)}{\cos^3\theta}=\frac{\sin(\alpha-3\theta)}{\sin^3\theta}=m$

Evaluation of a trigonometric series

Determining the height of a dome given the width and original length.

Laplace Transform with sin and cos

Limit of a recursiv trigonometric function

How to normalize a slope?

Prove that $\frac{a - b}{b} = \frac{2 \sin {\frac{1}{2}C} \sin {\frac{1}{2}(A - B)}}{\sin{B}}$

Proof of $\sin2x+x\sin^2x \lt\dfrac{1}{4}x^2+2$

Exact value of cosine function when $x$ is not a multiple of 3 degrees

Why does $A\sin{k(x+c)}=a\sin{kx}+b\cos{kx}$ imply that $A=\sqrt{a^2+b^2}$ and $\tan{c}=-b/a$?

Why is $\cos(2x)=\cos^2(x)-\sin^2(x)$ and $\sin(2x)=2\sin(x)\cos(x)$?

How to draw the graphs for these functions?

Express $\sin 3\theta$ and $\cos 3\theta$ as functions of $\sin \theta$ and $\cos \theta$ using Euler's identity

Finding a point in a parallelogram

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