Question

What are the necessary and sufficient conditions for a real square matrix (not necessarily invertible) to have a strictly real arctangent?

score 159 · Answer 1 · 2026-04-13 03:23:46

159

Views

What are the necessary and sufficient conditions for a real square matrix (not necessarily invertible) to have a strictly real arctangent?

Published on 13 Apr 2026 - 3:23

score 133 · Answer 2 · 2026-04-11 12:15:38

133

Views

Trigonometric values of complex Numbers

Published on 11 Apr 2026 - 12:15

score 32 · Answer 3 · 2026-05-10 20:17:29

32

Views

Verifying Formulas of angle of a point form the origin (For All Quadrants)

Published on 10 May 2026 - 20:17

score 2.5k · Answer 4 · 2026-04-14 03:28:36

2.5k

Views

Simple exponential $\\|e^{j\omega t}|$

Published on 14 Apr 2026 - 3:28

score 164 · Answer 5 · 2026-04-15 21:19:15

164

Views

Proving $\sum\limits_{k=1}^{N-1}\left[\frac{\sin\left(\frac{\pi km}{N}\right)}{\sin\left(\frac{\pi k}{N}\right)}\right]^{2}=m(N-m)$

Published on 15 Apr 2026 - 21:19

score 480 · Answer 6 · 2026-04-15 19:14:07

480

Views

Given $a+b+c=abc$, find $\tan^{-1}a+\tan^{-1}b+\tan^{-1}c$.

Published on 15 Apr 2026 - 19:14

score 413 · Answer 7 · 2026-04-14 03:52:16

413

Views

Trigonometric ratios in 4-Dimensions

Published on 14 Apr 2026 - 3:52

score 53 · Answer 8 · 2026-04-17 01:59:09

53

Views

$\int \sin x \cos x \ dx \neq \frac {\sin^2x}{2}$ if we use the identity $\sin A \cos B = \frac12[\sin(A-B) + \sin(A+B)]?$

Published on 17 Apr 2026 - 1:59

score 673 · Answer 9 · 2026-04-16 13:06:37

673

Views

Find minimum value of $\cos\alpha$, given $\sin\alpha+\sin\beta+\sin\gamma=1$ and $\cos\alpha+\cos\beta+\cos\gamma=1$

Published on 16 Apr 2026 - 13:06

score 33 · Answer 10 · 2026-04-11 13:27:24

33

Views

Finding an angle having the adjacent and incline % of hypotenuse?

Published on 11 Apr 2026 - 13:27

score 250 · Answer 11 · 2026-04-11 10:38:18

250

Views

Eliminate $\theta$ from the equation

Published on 11 Apr 2026 - 10:38

score 128 · Answer 12 · 2026-04-15 16:13:15

128

Views

Express the trigonometric identity $\cos nx$ as an infinite series of $\sin^2 x/2$.

Published on 15 Apr 2026 - 16:13

score 975 · Answer 13 · 2026-04-15 21:09:10

975

Views

Triangle with angles 30⁰,45⁰,105⁰, find area

Published on 15 Apr 2026 - 21:09

score 9.2k · Answer 14 · 2026-04-11 15:58:03

9.2k

Views

How deep is the liquid in a half-full hemisphere?

Published on 11 Apr 2026 - 15:58

score 150 · Answer 15 · 2026-05-10 22:09:33

150

Views

Calculate distance to a hill from photography

Published on 10 May 2026 - 22:09

List Question

What are the necessary and sufficient conditions for a real square matrix (not necessarily invertible) to have a strictly real arctangent?

Trigonometric values of complex Numbers

Verifying Formulas of angle of a point form the origin (For All Quadrants)

Simple exponential $\\|e^{j\omega t}|$

Proving $\sum\limits_{k=1}^{N-1}\left[\frac{\sin\left(\frac{\pi km}{N}\right)}{\sin\left(\frac{\pi k}{N}\right)}\right]^{2}=m(N-m)$

Given $a+b+c=abc$, find $\tan^{-1}a+\tan^{-1}b+\tan^{-1}c$.

Trigonometric ratios in 4-Dimensions

$\int \sin x \cos x \ dx \neq \frac {\sin^2x}{2}$ if we use the identity $\sin A \cos B = \frac12[\sin(A-B) + \sin(A+B)]?$

Find minimum value of $\cos\alpha$, given $\sin\alpha+\sin\beta+\sin\gamma=1$ and $\cos\alpha+\cos\beta+\cos\gamma=1$

Finding an angle having the adjacent and incline % of hypotenuse?

Eliminate $\theta$ from the equation

Express the trigonometric identity $\cos nx$ as an infinite series of $\sin^2 x/2$.

Triangle with angles 30⁰,45⁰,105⁰, find area

How deep is the liquid in a half-full hemisphere?

Calculate distance to a hill from photography

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