Question

Why do local maxima of sinc squared function appear close to odd multiples of $\pi/2$?

score 595 · Answer 1 · 2026-04-11 14:31:25

Why do local maxima of sinc squared function appear close to odd multiples of $\pi/2$?

Published on 11 Apr 2026 - 14:31

score 94 · Answer 2 · 2026-04-16 09:12:45

For a circle with angles $\alpha$, $\beta$, $\gamma$, inradius $r$, and semiperimeter $p$, prove $\tan(\alpha/2)\tan(\beta/2)\tan(\gamma/2)=r/p$

score 279 · Answer 3 · 2026-04-16 10:44:07

279

Views

If $\sin{\alpha}=\frac{8}{17}$ and $\sin{\beta}=\frac{15}{17}$, for acute $\alpha$ and $\beta$, then $\alpha+\beta=\pi/2$

Published on 16 Apr 2026 - 10:44

score 95 · Answer 4 · 2026-04-13 19:04:30

95

Views

The connection ‘tween sine and cosine.

Published on 13 Apr 2026 - 19:04

score 58 · Answer 5 · 2026-04-11 13:28:05

58

Views

Are There Some Other Sine Products with Almost Integer Values?

Published on 11 Apr 2026 - 13:28

score 123 · Answer 6 · 2026-04-14 22:44:36

123

Views

Integrate over line of square in polar coordinates

Published on 14 Apr 2026 - 22:44

score 45 · Answer 7 · 2026-04-17 07:49:10

45

Views

Question under solution of triangles

Published on 17 Apr 2026 - 7:49

score 151 · Answer 8 · 2026-04-16 04:31:11

151

Views

If $\tan x=3$, then what is the value of ${3\cos{2x}-2\sin{2x}\over4\sin{2x}+5\cos{2x}}$?

Published on 16 Apr 2026 - 4:31

score 49 · Answer 9 · 2026-04-14 10:32:55

49

Views

does multiplying a trigonometric functions in 2×2 matrix by a 2×1 matrix output a 1×2 matrix or a 2×1 matrix?

Published on 14 Apr 2026 - 10:32

score 49 · Answer 10 · 2026-04-17 14:06:05

49

Views

$i(w^2 +w^{-2})-(w-w^{-1}) = i$

Published on 17 Apr 2026 - 14:06

score 250 · Answer 11 · 2026-04-14 00:07:35

250

Views

Solve $\sec(x)=\tan(x)$

Published on 14 Apr 2026 - 0:07

score 139 · Answer 12 · 2026-04-14 11:53:58

In $\sin(\sin(x))$ Why should I Calculate the $\sin$ of $(\sin(x))$ radians not the $\sin$ of $\sin(x)$ degrees?

score 166 · Answer 13 · 2026-04-17 12:19:10

166

Views

Evaluate $\int\limits_0^{1}\frac{\sqrt{1+x^2}}{1+x}dx$

Published on 17 Apr 2026 - 12:19

score 48 · Answer 14 · 2026-04-16 13:27:31

48

Views

What really happens when you use sine, cosine or tangent.

Published on 16 Apr 2026 - 13:27

score 58 · Answer 15 · 2026-04-13 11:51:17

58

Views

Prove that there exists a continuous function $f(\!x\!):\mathbb{R}\rightarrow\mathbb{R}$ so that the following functional equation holds.

Published on 13 Apr 2026 - 11:51

List Question

Why do local maxima of sinc squared function appear close to odd multiples of $\pi/2$?

For a circle with angles $\alpha$, $\beta$, $\gamma$, inradius $r$, and semiperimeter $p$, prove $\tan(\alpha/2)\tan(\beta/2)\tan(\gamma/2)=r/p$

If $\sin{\alpha}=\frac{8}{17}$ and $\sin{\beta}=\frac{15}{17}$, for acute $\alpha$ and $\beta$, then $\alpha+\beta=\pi/2$

The connection ‘tween sine and cosine.

Are There Some Other Sine Products with Almost Integer Values?

Integrate over line of square in polar coordinates

Question under solution of triangles

If $\tan x=3$, then what is the value of ${3\cos{2x}-2\sin{2x}\over4\sin{2x}+5\cos{2x}}$?

does multiplying a trigonometric functions in 2×2 matrix by a 2×1 matrix output a 1×2 matrix or a 2×1 matrix?

$i(w^2 +w^{-2})-(w-w^{-1}) = i$

Solve $\sec(x)=\tan(x)$

In $\sin(\sin(x))$ Why should I Calculate the $\sin$ of $(\sin(x))$ radians not the $\sin$ of $\sin(x)$ degrees?

Evaluate $\int\limits_0^{1}\frac{\sqrt{1+x^2}}{1+x}dx$

What really happens when you use sine, cosine or tangent.

Prove that there exists a continuous function $f(\!x\!):\mathbb{R}\rightarrow\mathbb{R}$ so that the following functional equation holds.

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