Question

Need help for tricky system of trigonometric nonlinear equations

score 59 · Answer 1 · 2026-04-12 04:13:51

59

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Need help for tricky system of trigonometric nonlinear equations

Published on 12 Apr 2026 - 4:13

score 57 · Answer 2 · 2026-04-12 05:23:26

57

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What is so special about the principal value branch of inverse trigonometric functions.

Published on 12 Apr 2026 - 5:23

score 200 · Answer 3 · 2026-04-12 12:51:22

200

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Can this equation be solved? $x+\sin(x)=\frac{11\pi}{48}$

Published on 12 Apr 2026 - 12:51

score 456 · Answer 4 · 2026-04-13 17:57:03

456

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$\sin(\frac{\pi}{n})\sin(\frac{2\pi}{n})...\sin(\frac{(n-1)\pi}{n})=\frac{n}{2^{n-1}}$

Published on 13 Apr 2026 - 17:57

score 115 · Answer 5 · 2026-04-15 15:04:29

115

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Prove geometrically: If $\cos^{-1}x + \cos^{-1}y = A$, then $x^2 - 2xy\cos A + y^2 = \sin^2A$

Published on 15 Apr 2026 - 15:04

score 51 · Answer 6 · 2026-04-13 16:15:56

51

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Given $z = \frac{1}{2}\,\tan\left(\frac{a}{2}\right) \cdot q$, how can one express $a$ in terms of $z$?

Published on 13 Apr 2026 - 16:15

score 121 · Answer 7 · 2026-04-13 22:29:01

121

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Proving $\frac{\cot\theta-\csc\theta+1}{\cot\theta+\csc\theta-1}=\csc\theta-\cot\theta$

Published on 13 Apr 2026 - 22:29

score 96 · Answer 8 · 2026-04-16 15:16:01

96

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Proving $\tan^2\left(\frac{\pi}{4}+x\right)=\frac{1+\sin(2x)}{1-\sin(2x)}$

Published on 16 Apr 2026 - 15:16

score 82 · Answer 9 · 2026-04-16 19:17:48

82

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Graph of $7\cos x+5\sin x=2k+1$

Published on 16 Apr 2026 - 19:17

score 104 · Answer 10 · 2026-04-16 06:02:10

104

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Determine the numbers of solutions of equations $\sin v= \frac{v}{1964}$ and $\sin v= \log_{100} v$ .

Published on 16 Apr 2026 - 6:02

score 131 · Answer 11 · 2026-04-17 01:56:47

If $u=(1+\cos t)(1+\cos 2t)-\sin t\sin 2t$ and $v=\sin t(1+\cos 2t)+\sin 2t(1+\cos t)$, then $u^2+v^2=4(1+\cos t)(1+\cos 2t)$

score 202 · Answer 12 · 2026-05-04 20:37:45

202

Views

How many Chebyshev nodes are necessary to approximate the function $\sin(xπ)$

Published on 04 May 2026 - 20:37

score 94 · Answer 13 · 2026-04-13 21:35:55

94

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Finding an expression for $\tan (a+ b + y)$ which involves only $\tan a, \tan b,$ and $\tan y$.

Published on 13 Apr 2026 - 21:35

score 212 · Answer 14 · 2026-04-13 09:27:13

212

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Summation with $\tan^{-1}$

Published on 13 Apr 2026 - 9:27

score 58 · Answer 15 · 2026-04-15 01:14:43

58

Views

Show that $\sin(x)-x\cos(x)=1$ has just a real root in $[-\pi/2,\pi/2]$.

Published on 15 Apr 2026 - 1:14

List Question

Need help for tricky system of trigonometric nonlinear equations

What is so special about the principal value branch of inverse trigonometric functions.

Can this equation be solved? $x+\sin(x)=\frac{11\pi}{48}$

$\sin(\frac{\pi}{n})\sin(\frac{2\pi}{n})...\sin(\frac{(n-1)\pi}{n})=\frac{n}{2^{n-1}}$

Prove geometrically: If $\cos^{-1}x + \cos^{-1}y = A$, then $x^2 - 2xy\cos A + y^2 = \sin^2A$

Given $z = \frac{1}{2}\,\tan\left(\frac{a}{2}\right) \cdot q$, how can one express $a$ in terms of $z$?

Proving $\frac{\cot\theta-\csc\theta+1}{\cot\theta+\csc\theta-1}=\csc\theta-\cot\theta$

Proving $\tan^2\left(\frac{\pi}{4}+x\right)=\frac{1+\sin(2x)}{1-\sin(2x)}$

Graph of $7\cos x+5\sin x=2k+1$

Determine the numbers of solutions of equations $\sin v= \frac{v}{1964}$ and $\sin v= \log_{100} v$ .

If $u=(1+\cos t)(1+\cos 2t)-\sin t\sin 2t$ and $v=\sin t(1+\cos 2t)+\sin 2t(1+\cos t)$, then $u^2+v^2=4(1+\cos t)(1+\cos 2t)$

How many Chebyshev nodes are necessary to approximate the function $\sin(xπ)$

Finding an expression for $\tan (a+ b + y)$ which involves only $\tan a, \tan b,$ and $\tan y$.

Summation with $\tan^{-1}$

Show that $\sin(x)-x\cos(x)=1$ has just a real root in $[-\pi/2,\pi/2]$.

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