Question

Evaluating trigonometric series

score 59 · Answer 1 · 2026-04-14 02:15:53

59

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Evaluating trigonometric series

Published on 14 Apr 2026 - 2:15

score 170 · Answer 2 · 2026-04-15 21:36:05

170

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Maximizing $ 3^{\sin^2{\theta}} \cdot 27^{\cos^2{\theta}} + 8^{\sin{\theta}}\cdot 16^{\cos{\theta}} $

Published on 15 Apr 2026 - 21:36

score 497 · Answer 3 · 2026-04-14 17:55:40

497

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How to solve a system of 7 equations with 7 unknowns being all the equations similar to each other

Published on 14 Apr 2026 - 17:55

score 448 · Answer 4 · 2026-04-15 05:00:16

448

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Does Tanh(x) have areas which are concave up or down?

Published on 15 Apr 2026 - 5:00

score 138 · Answer 5 · 2026-04-17 06:46:17

138

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How to isolate $x$ when $\cos(x/2)\cos(3x)/2−3\sin(x/2)\sin(3x)= 0$

Published on 17 Apr 2026 - 6:46

score 75 · Answer 6 · 2026-04-16 16:15:56

75

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Evaluate $ \int \frac{3x^{2} (\csc{\sqrt{x^{3}-6}})^{2}}{\sqrt{x^{3}-6}} dx $

Published on 16 Apr 2026 - 16:15

score 65 · Answer 7 · 2026-04-14 16:45:35

65

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Rigorously proving $\lim_{x \to (2n+1)^+} \tan\left(\frac{\pi x} 2\right) = - \infty $

Published on 14 Apr 2026 - 16:45

score 128 · Answer 8 · 2026-04-13 18:39:10

128

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Why does $x_0 + \sin(x_0) \approx \pi$, when computing it multiple times?

Published on 13 Apr 2026 - 18:39

score 503 · Answer 9 · 2026-04-14 10:59:43

503

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Is there a mathematical function for a sinusoidal function that each wave is omega shaped?

Published on 14 Apr 2026 - 10:59

score 132 · Answer 10 · 2026-04-15 05:43:27

132

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How do I show that the partial sums of the sequence $a_n=\cos( \log n)$ are bounded?

Published on 15 Apr 2026 - 5:43

score 52 · Answer 11 · 2026-04-11 15:24:45

52

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Question About Trig Substitution

Published on 11 Apr 2026 - 15:24

score 59 · Answer 12 · 2026-04-14 09:36:07

59

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Can this system of trigonometric equations be solved? How to solve it?

Published on 14 Apr 2026 - 9:36

score 66 · Answer 13 · 2026-04-17 12:21:02

66

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Proving $ \sin{x} - \sin{y} = \sin{(x - y)} \cdot \sqrt{\frac{1 + \cos{(x + y)}} {1 + \cos{(x - y)}}} $

Published on 17 Apr 2026 - 12:21

score 204 · Answer 14 · 2026-04-16 23:15:33

204

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$ \cos(2 \pi x)$, $ \cos(4 \pi x)$, $ \cos(8 \pi x)$, $ \cos(16 \pi x)$, and $ \cos(32 \pi x)$ are all nonpositive

Published on 16 Apr 2026 - 23:15

score 98 · Answer 15 · 2026-04-16 08:13:39

98

Views

How to form functions similar to $\frac 12 - \frac12 \cos \pi x$

Published on 16 Apr 2026 - 8:13

List Question

Evaluating trigonometric series

Maximizing $ 3^{\sin^2{\theta}} \cdot 27^{\cos^2{\theta}} + 8^{\sin{\theta}}\cdot 16^{\cos{\theta}} $

How to solve a system of 7 equations with 7 unknowns being all the equations similar to each other

Does Tanh(x) have areas which are concave up or down?

How to isolate $x$ when $\cos(x/2)\cos(3x)/2−3\sin(x/2)\sin(3x)= 0$

Evaluate $ \int \frac{3x^{2} (\csc{\sqrt{x^{3}-6}})^{2}}{\sqrt{x^{3}-6}} dx $

Rigorously proving $\lim_{x \to (2n+1)^+} \tan\left(\frac{\pi x} 2\right) = - \infty $

Why does $x_0 + \sin(x_0) \approx \pi$, when computing it multiple times?

Is there a mathematical function for a sinusoidal function that each wave is omega shaped?

How do I show that the partial sums of the sequence $a_n=\cos( \log n)$ are bounded?

Question About Trig Substitution

Can this system of trigonometric equations be solved? How to solve it?

Proving $ \sin{x} - \sin{y} = \sin{(x - y)} \cdot \sqrt{\frac{1 + \cos{(x + y)}} {1 + \cos{(x - y)}}} $

$ \cos(2 \pi x)$, $ \cos(4 \pi x)$, $ \cos(8 \pi x)$, $ \cos(16 \pi x)$, and $ \cos(32 \pi x)$ are all nonpositive

How to form functions similar to $\frac 12 - \frac12 \cos \pi x$

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