Question

Pre-calculus method for finding the 'neat' value $\sin(\frac{\pi}{3})=\frac{\sqrt3}{2}$?

score 159 · Answer 1 · 2026-04-10 19:43:55

159

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Pre-calculus method for finding the 'neat' value $\sin(\frac{\pi}{3})=\frac{\sqrt3}{2}$?

Published on 10 Apr 2026 - 19:43

score 173 · Answer 2 · 2026-04-16 03:32:31

173

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If $\sin\alpha+\sin\beta=a$ and $\cos\alpha-\cos\beta=b$, then what is $\tan(\frac{\alpha-\beta}{2})$?

Published on 16 Apr 2026 - 3:32

score 506 · Answer 3 · 2026-04-16 12:02:49

506

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Find the value of $4\cos 6\cos 42 \cos 60 \cos 66 \cos 78$ All angles in degrees

Published on 16 Apr 2026 - 12:02

score 105 · Answer 4 · 2026-04-16 11:07:44

105

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Is the function continuous $~x=1~$, and is it differentiable in $~x=1~$?

Published on 16 Apr 2026 - 11:07

score 864 · Answer 5 · 2026-04-11 04:00:14

864

Views

Irrationality of $\cos 2\pi / n$

Published on 11 Apr 2026 - 4:00

score 179 · Answer 6 · 2026-04-17 05:24:07

179

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Divergence of $\prod_{n=1}^{\infty} a\sin(n)$ for $a>1$ to $0$ or $\infty$

Published on 17 Apr 2026 - 5:24

score 121 · Answer 7 · 2026-05-03 23:14:49

121

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Proving that $\sec\frac\pi{30}=\sqrt{2-\sqrt{5}+\sqrt{15-6\sqrt{5}}}$

Published on 03 May 2026 - 23:14

score 78 · Answer 8 · 2026-04-12 12:14:26

78

Views

how to exactly get an explicit form of a trig differential problem?

Published on 12 Apr 2026 - 12:14

score 107 · Answer 9 · 2026-04-17 06:45:07

107

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How many triplets $(p,q,r)$ of integers between $1$ and $1000$ satisfy $p^2\sin^2x+q\sin2x+r^2\cos^2x>1$, if $\sin x$ and $\cos x$ are non-zero?

Published on 17 Apr 2026 - 6:45

score 162 · Answer 10 · 2026-04-12 07:32:54

162

Views

How do you simplify this complex number with Sin and Cos

Published on 12 Apr 2026 - 7:32

score 54 · Answer 11 · 2026-04-10 22:56:17

54

Views

Angles and rates of change

Published on 10 Apr 2026 - 22:56

score 116 · Answer 12 · 2026-04-16 12:43:45

116

Views

How did ancient Indian mathematicians determine the values of $\sin 18^\circ$, $\cos 54^\circ$, etc?

Published on 16 Apr 2026 - 12:43

score 289 · Answer 13 · 2026-04-14 15:58:51

289

Views

How to find all possible x's with an interval of $[0, 2 \pi/7]$ when given the equation of $2 \sin(7x)-1=0$?

Published on 14 Apr 2026 - 15:58

score 49 · Answer 14 · 2026-04-17 09:58:44

49

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Find $\sin 4x$ if $\cos x$ - $\sin x$ = -$\frac{\sqrt 2}{4\sin x}$

Published on 17 Apr 2026 - 9:58

score 85 · Answer 15 · 2026-04-17 11:19:19

85

Views

Trigonometric integral $\int_0^{\frac{\pi}{\omega}}\sin(\omega t)\cos(n\omega t)\,dt$

Published on 17 Apr 2026 - 11:19

List Question

Pre-calculus method for finding the 'neat' value $\sin(\frac{\pi}{3})=\frac{\sqrt3}{2}$?

If $\sin\alpha+\sin\beta=a$ and $\cos\alpha-\cos\beta=b$, then what is $\tan(\frac{\alpha-\beta}{2})$?

Find the value of $4\cos 6\cos 42 \cos 60 \cos 66 \cos 78$ All angles in degrees

Is the function continuous $~x=1~$, and is it differentiable in $~x=1~$?

Irrationality of $\cos 2\pi / n$

Divergence of $\prod_{n=1}^{\infty} a\sin(n)$ for $a>1$ to $0$ or $\infty$

Proving that $\sec\frac\pi{30}=\sqrt{2-\sqrt{5}+\sqrt{15-6\sqrt{5}}}$

how to exactly get an explicit form of a trig differential problem?

How many triplets $(p,q,r)$ of integers between $1$ and $1000$ satisfy $p^2\sin^2x+q\sin2x+r^2\cos^2x>1$, if $\sin x$ and $\cos x$ are non-zero?

How do you simplify this complex number with Sin and Cos

Angles and rates of change

How did ancient Indian mathematicians determine the values of $\sin 18^\circ$, $\cos 54^\circ$, etc?

How to find all possible x's with an interval of $[0, 2 \pi/7]$ when given the equation of $2 \sin(7x)-1=0$?

Find $\sin 4x$ if $\cos x$ - $\sin x$ = -$\frac{\sqrt 2}{4\sin x}$

Trigonometric integral $\int_0^{\frac{\pi}{\omega}}\sin(\omega t)\cos(n\omega t)\,dt$

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