Question

proving $\tan^{-1} \left( \frac{x}{1-x^2} \right) = \tan^{-1}x + \tan^{-1}(x^3)$

score 211 · Answer 1 · 2026-04-17 13:48:24

211

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proving $\tan^{-1} \left( \frac{x}{1-x^2} \right) = \tan^{-1}x + \tan^{-1}(x^3)$

Published on 17 Apr 2026 - 13:48

score 110 · Answer 2 · 2026-04-15 09:32:17

110

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$\cos(x)$ domain and range

Published on 15 Apr 2026 - 9:32

score 106 · Answer 3 · 2026-04-17 10:19:36

106

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Prove that $\sin^4(x)\cos^2(x) + \sin^2(x)\cos^4(x) - \sin^2(x)\cos^2(x)=0.$

Published on 17 Apr 2026 - 10:19

score 135 · Answer 4 · 2026-04-16 06:54:53

135

Views

Periodicity of the triginometric function $g(x) = \sin\Big(2 \pi b (x-a) \cos\big(2 \pi c (x - a) \big)\Big) + d$

Published on 16 Apr 2026 - 6:54

score 2.1k · Answer 5 · 2026-04-11 12:58:21

2.1k

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Finding the value of $\sin {\frac{31 \pi}3}$

Published on 11 Apr 2026 - 12:58

score 438 · Answer 6 · 2026-04-16 20:18:19

438

Views

Why does computing sine of an angle seem to recursively require sine?

Published on 16 Apr 2026 - 20:18

score 147 · Answer 7 · 2026-04-13 14:19:12

147

Views

How to determine the visibility of an object from the top of a hill

Published on 13 Apr 2026 - 14:19

score 352 · Answer 8 · 2026-04-18 13:04:16

352

Views

De Moivre and trignometry question

Published on 18 Apr 2026 - 13:04

score 157 · Answer 9 · 2026-04-12 21:17:33

157

Views

Trigonometrical Solve

Published on 12 Apr 2026 - 21:17

score 121 · Answer 10 · 2026-04-12 13:14:07

121

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A triangle with an angle, the altitude through that angle, and perimeter given. Is the triangle unique? (from Polya's "How to Solve It")

Published on 12 Apr 2026 - 13:14

score 142 · Answer 11 · 2026-04-17 00:41:22

Find sum of $\frac{1}{\sin\theta\cdot \sin2\theta} + \frac{1}{\sin2\theta\cdot \sin3\theta} + \cdots + \frac{1}{\sin n \theta \sin (n+1)\theta}$

score 128 · Answer 12 · 2026-04-15 23:30:30

128

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$\int_{-\pi}^{\pi} \cos nx \, dx$ is always 0 when actually integrated.

Published on 15 Apr 2026 - 23:30

score 1.4k · Answer 13 · 2026-04-16 12:30:46

1.4k

Views

Convolution integral $\int_0^t \cos(t-s)\sin(s)\ ds$

Published on 16 Apr 2026 - 12:30

score 204 · Answer 14 · 2026-04-12 20:52:01

204

Views

A trigonometric integral with sin(cos(x)) in exponent

Published on 12 Apr 2026 - 20:52

score 1.8k · Answer 15 · 2026-04-12 08:40:27

1.8k

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Angular velocity of the minute hand

Published on 12 Apr 2026 - 8:40

List Question

proving $\tan^{-1} \left( \frac{x}{1-x^2} \right) = \tan^{-1}x + \tan^{-1}(x^3)$

$\cos(x)$ domain and range

Prove that $\sin^4(x)\cos^2(x) + \sin^2(x)\cos^4(x) - \sin^2(x)\cos^2(x)=0.$

Periodicity of the triginometric function $g(x) = \sin\Big(2 \pi b (x-a) \cos\big(2 \pi c (x - a) \big)\Big) + d$

Finding the value of $\sin {\frac{31 \pi}3}$

Why does computing sine of an angle seem to recursively require sine?

How to determine the visibility of an object from the top of a hill

De Moivre and trignometry question

Trigonometrical Solve

A triangle with an angle, the altitude through that angle, and perimeter given. Is the triangle unique? (from Polya's "How to Solve It")

Find sum of $\frac{1}{\sin\theta\cdot \sin2\theta} + \frac{1}{\sin2\theta\cdot \sin3\theta} + \cdots + \frac{1}{\sin n \theta \sin (n+1)\theta}$

$\int_{-\pi}^{\pi} \cos nx \, dx$ is always 0 when actually integrated.

Convolution integral $\int_0^t \cos(t-s)\sin(s)\ ds$

A trigonometric integral with sin(cos(x)) in exponent

Angular velocity of the minute hand

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