Question

Does Euler's Formula prove all imaginary numbers equal $0$?

score 312 · Answer 1 · 2018-03-25 04:26:31

312

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Does Euler's Formula prove all imaginary numbers equal $0$?

Published on 25 Mar 2018 - 4:26

score 497 · Answer 2 · 2026-03-29 19:14:31

497

Views

How to prove that $\lim_{x\to 0}\frac{x}{\sin x}=1$, knowing that $\lim_{x\to 0}\frac{\sin x}{x}=1$?

Published on 29 Mar 2026 - 19:14

score 170 · Answer 3 · 2018-03-25 06:44:11

170

Views

In $\triangle ABC$, if $\angle B=60^\circ$ and $\sin A\sin C=\lambda$, then what is the range of $\lambda$?

Published on 25 Mar 2018 - 6:44

score 236 · Answer 4 · 2018-03-25 11:49:35

236

Views

Solve $\left ( 1- \sqrt{2}\sin x \right )\left ( \cos 2x+ \sin 2x \right )= \frac{1}{2}$

Published on 25 Mar 2018 - 11:49

score 198 · Answer 5 · 2026-03-25 17:19:16

198

Views

How do I mathematically prove $ \sin^3(3t)$ is periodic?

Published on 25 Mar 2026 - 17:19

score 138 · Answer 6 · 2018-03-26 11:22:34

138

Views

Minimum of product of three trigonometric function

Published on 26 Mar 2018 - 11:22

score 32 · Answer 7 · 2018-03-26 11:58:53

32

Views

Rearrangement of one equation involving angles

Published on 26 Mar 2018 - 11:58

score 482 · Answer 8 · 2018-03-26 12:02:53

If $\frac{\cos \alpha}{\cos \beta}+\frac{\sin \alpha}{\sin \beta}=-1$, find $\frac{\cos^3\beta}{\cos \alpha}+\frac{\sin^3\beta}{\sin \alpha}$.

score 61 · Answer 9 · 2018-03-26 14:05:49

61

Views

integral substitution not by u-sub

Published on 26 Mar 2018 - 14:05

score 2.5k · Answer 10 · 2026-03-28 00:56:18

2.5k

Views

How to solve $\arcsin i$?

Published on 28 Mar 2026 - 0:56

score 57 · Answer 11 · 2018-03-26 19:02:04

57

Views

Tangent half-angle substitution - solving trig equation

Published on 26 Mar 2018 - 19:02

score 171 · Answer 12 · 2026-03-25 06:02:33

171

Views

Conditions for nonsingularity of a matrix with trigonometric elements

Published on 25 Mar 2026 - 6:02

score 57 · Answer 13 · 2026-03-28 00:47:47

57

Views

Trigonometric values in the complex plane

Published on 28 Mar 2026 - 0:47

score 1.4k · Answer 14 · 2026-03-25 01:18:10

1.4k

Views

Is there any expression to calculate the sum of (at least) 3 cosines?

Published on 25 Mar 2026 - 1:18

score 117 · Answer 15 · 2018-03-27 03:25:01

Solve $\operatorname{x}\operatorname{dy}-\operatorname{y}\operatorname{dx}=\operatorname{x}\sqrt{x^2-\operatorname{y^2}}\operatorname{dy} $

List Question

Does Euler's Formula prove all imaginary numbers equal $0$?

How to prove that $\lim_{x\to 0}\frac{x}{\sin x}=1$, knowing that $\lim_{x\to 0}\frac{\sin x}{x}=1$?

In $\triangle ABC$, if $\angle B=60^\circ$ and $\sin A\sin C=\lambda$, then what is the range of $\lambda$?

Solve $\left ( 1- \sqrt{2}\sin x \right )\left ( \cos 2x+ \sin 2x \right )= \frac{1}{2}$

How do I mathematically prove $ \sin^3(3t)$ is periodic?

Minimum of product of three trigonometric function

Rearrangement of one equation involving angles

If $\frac{\cos \alpha}{\cos \beta}+\frac{\sin \alpha}{\sin \beta}=-1$, find $\frac{\cos^3\beta}{\cos \alpha}+\frac{\sin^3\beta}{\sin \alpha}$.

integral substitution not by u-sub

How to solve $\arcsin i$?

Tangent half-angle substitution - solving trig equation

Conditions for nonsingularity of a matrix with trigonometric elements

Trigonometric values in the complex plane

Is there any expression to calculate the sum of (at least) 3 cosines?

Solve $\operatorname{x}\operatorname{dy}-\operatorname{y}\operatorname{dx}=\operatorname{x}\sqrt{x^2-\operatorname{y^2}}\operatorname{dy} $

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