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Does $\cot^2 $ equal $ \cos^2/ \sin^2$?

score 6.9k · Answer 1 · 2026-04-14 13:19:52

6.9k

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Does $\cot^2 $ equal $ \cos^2/ \sin^2$?

Published on 14 Apr 2026 - 13:19

score 3.2k · Answer 2 · 2026-04-10 23:45:24

3.2k

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What are the solutions of $x=\cot x$?

Published on 10 Apr 2026 - 23:45

score 975 · Answer 3 · 2026-04-15 09:15:34

975

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In a triangle $ABC$, $\cos 3A + \cos 3B + \cos 3C = 1$, then find any one angle.

Published on 15 Apr 2026 - 9:15

score 38 · Answer 4 · 2026-04-15 23:56:32

38

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Different substitutions yielding different values while differentiating

Published on 15 Apr 2026 - 23:56

score 342 · Answer 5 · 2026-04-16 00:27:40

If $m^2\cos{\frac{2\pi}{15}}\cos{\frac{4\pi}{15}}\cos{\frac{8\pi}{15}}\cos{\frac{14\pi}{15}} = n^2$, then find the value of $\frac{m^2 - n^2}{n^2}$

score 145 · Answer 6 · 2026-04-13 10:51:57

145

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Repeated differentiation of $y \cos(x)$

Published on 13 Apr 2026 - 10:51

score 39 · Answer 7 · 2026-04-15 08:32:44

39

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Finding position on a slanted line

Published on 15 Apr 2026 - 8:32

score 393 · Answer 8 · 2026-04-13 21:04:18

393

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Trigonometric riddle. Obtaining Wind Speed based on two vectors of Ground Speed of an Airplane

Published on 13 Apr 2026 - 21:04

score 57 · Answer 9 · 2026-04-15 08:00:10

57

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Let $f(x)=\arctan\left({\tan(x/2)\over3}\right)$. Prove that $\lim\limits_{x\to\pi-}f(x)=\pi/4$ and $\lim\limits_{x\to\pi+}f(x)=-\pi/4$

Published on 15 Apr 2026 - 8:00

score 658 · Answer 10 · 2026-04-12 07:39:07

658

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How to find the central angle given a line and circle segment?

Published on 12 Apr 2026 - 7:39

score 114 · Answer 11 · 2026-04-17 02:59:02

114

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Finding all real $x$ such that $1+\sum_{j=1}^n\sin{\frac{j\pi x}{n+1}} = 0$, where $n=18$.

Published on 17 Apr 2026 - 2:59

score 33 · Answer 12 · 2026-04-16 00:24:49

33

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If $f(x)$ and $g(x)$ are real functions with $f(x)+g(x)=\sin x$, then can we say that they each have the form $a\sin(bx+c)+d$?

Published on 16 Apr 2026 - 0:24

score 200 · Answer 13 · 2026-04-13 21:07:17

200

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Simplification using hyperbolic trig identities

Published on 13 Apr 2026 - 21:07

score 73 · Answer 14 · 2026-04-17 10:44:52

73

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Which value is correct for $\sin^{-1}\left(\frac{-\sqrt 3}2\right)$, $\frac{4π}3$ or $\frac{5π}3$?

Published on 17 Apr 2026 - 10:44

score 222 · Answer 15 · 2026-03-30 19:58:48

222

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Precalculus Composition of Functions Question

Published on 30 Mar 2026 - 19:58

List Question

Does $\cot^2 $ equal $ \cos^2/ \sin^2$?

What are the solutions of $x=\cot x$?

In a triangle $ABC$, $\cos 3A + \cos 3B + \cos 3C = 1$, then find any one angle.

Different substitutions yielding different values while differentiating

If $m^2\cos{\frac{2\pi}{15}}\cos{\frac{4\pi}{15}}\cos{\frac{8\pi}{15}}\cos{\frac{14\pi}{15}} = n^2$, then find the value of $\frac{m^2 - n^2}{n^2}$

Repeated differentiation of $y \cos(x)$

Finding position on a slanted line

Trigonometric riddle. Obtaining Wind Speed based on two vectors of Ground Speed of an Airplane

Let $f(x)=\arctan\left({\tan(x/2)\over3}\right)$. Prove that $\lim\limits_{x\to\pi-}f(x)=\pi/4$ and $\lim\limits_{x\to\pi+}f(x)=-\pi/4$

How to find the central angle given a line and circle segment?

Finding all real $x$ such that $1+\sum_{j=1}^n\sin{\frac{j\pi x}{n+1}} = 0$, where $n=18$.

If $f(x)$ and $g(x)$ are real functions with $f(x)+g(x)=\sin x$, then can we say that they each have the form $a\sin(bx+c)+d$?

Simplification using hyperbolic trig identities

Which value is correct for $\sin^{-1}\left(\frac{-\sqrt 3}2\right)$, $\frac{4π}3$ or $\frac{5π}3$?

Precalculus Composition of Functions Question

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