Question

On the Taylor coefficients of $\arcsin^3$

score 398 · Answer 1 · 2026-04-15 17:49:43

398

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On the Taylor coefficients of $\arcsin^3$

Published on 15 Apr 2026 - 17:49

score 173 · Answer 2 · 2026-04-17 02:33:53

173

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Minimizing $\left ( \sin^2(x) + \frac{1}{\sin^2(x)} \right )^2 + \left ( \cos^2(x) + \frac{1}{\cos^2(x)} \right )^2$

Published on 17 Apr 2026 - 2:33

score 124 · Answer 3 · 2026-04-17 09:17:35

124

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how to prove: $ \sin^4\theta =\frac{3}{8} - \frac{1}{2}\cos2\theta + \frac{1}{8}\cos4\theta$?

Published on 17 Apr 2026 - 9:17

score 662 · Answer 4 · 2026-04-14 09:29:09

662

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Find the distance between the circumcenter and the incenter of a triangle using trigonometry

Published on 14 Apr 2026 - 9:29

score 1.1k · Answer 5 · 2026-04-11 10:55:03

1.1k

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Is there a way to simplify $\tan^{-1}(\cos x)$?

Published on 11 Apr 2026 - 10:55

score 234 · Answer 6 · 2026-04-17 08:32:04

234

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How do you find the slope of a secant line on a non-smooth curve?

Published on 17 Apr 2026 - 8:32

score 563 · Answer 7 · 2026-04-17 09:48:24

Eliminate $\theta$ from $\lambda\cos2\theta=\cos(\theta + \alpha) \space$ and $\space \space\lambda \sin2\theta=2\sin(\theta + \alpha)$

score 113 · Answer 8 · 2026-04-15 01:04:23

113

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Proving $G(s,t)=(\cosh s \cdot \cos t, \sinh s \cdot \sin t)$ has global inverse in a certain region

Published on 15 Apr 2026 - 1:04

score 71 · Answer 9 · 2026-04-16 03:49:12

71

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Proving $2\cos \alpha\sin(\alpha N)=\sin(\alpha(N-1))$, where $\alpha=\pi k/(N+1)$ for integer $k$

Published on 16 Apr 2026 - 3:49

score 93 · Answer 10 · 2026-04-15 11:13:38

93

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Why is $\frac{\sin x + \tan x}{\cos x + \cot x}$ always positive (when it's defined)?

Published on 15 Apr 2026 - 11:13

score 39 · Answer 11 · 2026-04-15 17:05:34

39

Views

Showing a Map to the Circle is Surjective and Periodic if it Satisfies a Set of Differential Equations

Published on 15 Apr 2026 - 17:05

score 191 · Answer 12 · 2026-04-09 14:44:52

191

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How do you get the 112.6 angle in this problem?

Published on 09 Apr 2026 - 14:44

score 363 · Answer 13 · 2026-04-11 11:33:07

363

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How is sin 135 calculated on a calculator?!?

Published on 11 Apr 2026 - 11:33

score 142 · Answer 14 · 2026-04-17 11:59:59

142

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Evaluating the integral $\int_0^{\pi/2}\frac{\cos^{3/2}x}{\sin x\sqrt{\lambda-2\cos x-2\ln(1-\cos x)+2\ln(\sin x)}}\,\mathrm dx$

Published on 17 Apr 2026 - 11:59

score 93 · Answer 15 · 2026-04-13 16:34:58

93

Views

How to know you need to use sin or cos?

Published on 13 Apr 2026 - 16:34

List Question

On the Taylor coefficients of $\arcsin^3$

Minimizing $\left ( \sin^2(x) + \frac{1}{\sin^2(x)} \right )^2 + \left ( \cos^2(x) + \frac{1}{\cos^2(x)} \right )^2$

how to prove: $ \sin^4\theta =\frac{3}{8} - \frac{1}{2}\cos2\theta + \frac{1}{8}\cos4\theta$?

Find the distance between the circumcenter and the incenter of a triangle using trigonometry

Is there a way to simplify $\tan^{-1}(\cos x)$?

How do you find the slope of a secant line on a non-smooth curve?

Eliminate $\theta$ from $\lambda\cos2\theta=\cos(\theta + \alpha) \space$ and $\space \space\lambda \sin2\theta=2\sin(\theta + \alpha)$

Proving $G(s,t)=(\cosh s \cdot \cos t, \sinh s \cdot \sin t)$ has global inverse in a certain region

Proving $2\cos \alpha\sin(\alpha N)=\sin(\alpha(N-1))$, where $\alpha=\pi k/(N+1)$ for integer $k$

Why is $\frac{\sin x + \tan x}{\cos x + \cot x}$ always positive (when it's defined)?

Showing a Map to the Circle is Surjective and Periodic if it Satisfies a Set of Differential Equations

How do you get the 112.6 angle in this problem?

How is sin 135 calculated on a calculator?!?

Evaluating the integral $\int_0^{\pi/2}\frac{\cos^{3/2}x}{\sin x\sqrt{\lambda-2\cos x-2\ln(1-\cos x)+2\ln(\sin x)}}\,\mathrm dx$

How to know you need to use sin or cos?

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