Question

the relation $f^2+g^2=1$ is followed only by trigonometric functions for differentiable functions

score 226 · Answer 1 · 2018-08-01 14:13:26

226

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the relation $f^2+g^2=1$ is followed only by trigonometric functions for differentiable functions

Published on 01 Aug 2018 - 14:13

score 54 · Answer 2 · 2018-08-02 06:18:38

54

Views

A trivial inequality in complex analysis

Published on 02 Aug 2018 - 6:18

score 506 · Answer 3 · 2026-03-25 17:51:52

506

Views

Why complex plane is defined?

Published on 25 Mar 2026 - 17:51

score 1.8k · Answer 4 · 2018-08-02 08:59:26

1.8k

Views

Find all complex numbers z for this equation

Published on 02 Aug 2018 - 8:59

score 553 · Answer 5 · 2026-03-26 09:42:42

553

Views

Sum of square roots of complex numbers

Published on 26 Mar 2026 - 9:42

score 169 · Answer 6 · 2018-08-02 17:03:19

169

Views

Proving identity $\cos^2 a= \sinh^2 b$ if $\sin(a+ib)=\cos b + i\sin b$

Published on 02 Aug 2018 - 17:03

score 8.6k · Answer 7 · 2026-03-25 14:18:13

8.6k

Views

Why does $|e^{ix}|^2 = 1$?

Published on 25 Mar 2026 - 14:18

score 106 · Answer 8 · 2018-08-03 09:33:59

106

Views

Showing $\left|\frac{e^{iz}}{z^2+1}\right|\leq\frac{1}{|z|^2+1}$

Published on 03 Aug 2018 - 9:33

score 578 · Answer 9 · 2018-08-03 11:26:26

578

Views

Show that $\sin x-i\cos x=\operatorname{cis}(x-\pi/2)$

Published on 03 Aug 2018 - 11:26

score 142 · Answer 10 · 2018-08-03 17:11:45

142

Views

Intuition for trigonometric function of complex number

Published on 03 Aug 2018 - 17:11

score 109 · Answer 11 · 2018-08-04 08:15:07

109

Views

Solving Complex Numbers Equation

Published on 04 Aug 2018 - 8:15

score 50 · Answer 12 · 2018-08-04 15:25:55

50

Views

Proof of transformation effect (in complex plane) (Complex geometry)

Published on 04 Aug 2018 - 15:25

score 276 · Answer 13 · 2026-03-25 13:55:15

276

Views

How to prove Eulers formula using the definition of derivative?

Published on 25 Mar 2026 - 13:55

score 62 · Answer 14 · 2018-08-06 09:40:28

62

Views

Prove if $|z-1| \le \frac{1}{2}$ then $|\frac{z}{|z|} - 1| \le |z - 1|\sqrt2$ for z complex

Published on 06 Aug 2018 - 9:40

score 279 · Answer 15 · 2026-03-26 21:10:32

279

Views

If the roots of the equation $ax^2-2bx+c=0$ are complex ,then find the number of real roots of the equation $4e^x+(a+c)^2(x^3+x)=4b^2x$.

Published on 26 Mar 2026 - 21:10

List Question

the relation $f^2+g^2=1$ is followed only by trigonometric functions for differentiable functions

A trivial inequality in complex analysis

Why complex plane is defined?

Find all complex numbers z for this equation

Sum of square roots of complex numbers

Proving identity $\cos^2 a= \sinh^2 b$ if $\sin(a+ib)=\cos b + i\sin b$

Why does $|e^{ix}|^2 = 1$?

Showing $\left|\frac{e^{iz}}{z^2+1}\right|\leq\frac{1}{|z|^2+1}$

Show that $\sin x-i\cos x=\operatorname{cis}(x-\pi/2)$

Intuition for trigonometric function of complex number

Solving Complex Numbers Equation

Proof of transformation effect (in complex plane) (Complex geometry)

How to prove Eulers formula using the definition of derivative?

Prove if $|z-1| \le \frac{1}{2}$ then $|\frac{z}{|z|} - 1| \le |z - 1|\sqrt2$ for z complex

If the roots of the equation $ax^2-2bx+c=0$ are complex ,then find the number of real roots of the equation $4e^x+(a+c)^2(x^3+x)=4b^2x$.

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