Question

Showing $\lvert\cos z\rvert^2=a\cos2x+b\cosh2y$, where $z=x+iy$, for numbers $a$ and $b$ to be determined

score 126 · Answer 1 · 2026-04-15 19:33:52

126

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Showing $\lvert\cos z\rvert^2=a\cos2x+b\cosh2y$, where $z=x+iy$, for numbers $a$ and $b$ to be determined

Published on 15 Apr 2026 - 19:33

score 46 · Answer 2 · 2026-04-11 07:06:42

46

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What is the logic behind this trigonometry?

Published on 11 Apr 2026 - 7:06

score 116 · Answer 3 · 2026-04-15 23:36:25

116

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Verify the Identity $\sec^2(x)-cot^2\left(\frac{\pi}{2}-x\right)=1$

Published on 15 Apr 2026 - 23:36

score 69 · Answer 4 · 2026-04-13 09:26:42

69

Views

Sum of $x^k \cos(kx)$

Published on 13 Apr 2026 - 9:26

score 569 · Answer 5 · 2026-04-15 12:58:51

569

Views

What's a good approximation to the zeros of the cosine integral?

Published on 15 Apr 2026 - 12:58

score 55 · Answer 6 · 2026-04-16 23:45:50

55

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Verifying $\frac{\cos^2 x - \sin^2 x}{1-\tan^2 x} = \cos^2 x$

Published on 16 Apr 2026 - 23:45

score 116 · Answer 7 · 2026-04-17 08:10:35

116

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$f(\theta) = \cos \theta - \sqrt{3}\sin \theta$ in the form $r\sin(\theta-\alpha)$

Published on 17 Apr 2026 - 8:10

score 689 · Answer 8 · 2026-04-15 07:37:24

689

Views

Find the minimum and maximum values of $1/(\cos x + \sin x )$

Published on 15 Apr 2026 - 7:37

score 1k · Answer 9 · 2026-04-14 00:39:29

1k

Views

Proving the formulas for $\sin 3\theta$ and $\cos 3\theta$. (Check my work.)

Published on 14 Apr 2026 - 0:39

score 618 · Answer 10 · 2026-04-17 14:07:31

618

Views

If $\arctan x + \arctan y = \pi/4$ show that $x+y= 1-xy$

Published on 17 Apr 2026 - 14:07

score 266 · Answer 11 · 2026-04-15 14:42:45

266

Views

Area issue geometry

Published on 15 Apr 2026 - 14:42

score 53 · Answer 12 · 2026-04-13 21:08:14

53

Views

Small angle increase to increment of $\frac{\sin x}{x}$

Published on 13 Apr 2026 - 21:08

score 75 · Answer 13 · 2026-04-14 01:41:23

75

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What is the value of $\sin(\sqrt{-1})$ ? What does it signify?

Published on 14 Apr 2026 - 1:41

score 35 · Answer 14 · 2026-04-14 19:23:36

35

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$\sin(x) + \cos(x) = \sqrt{2}\cdot \sin(x+\pi/4)$ but what is it as cosine?

Published on 14 Apr 2026 - 19:23

score 60 · Answer 15 · 2026-04-14 00:43:22

60

Views

General solutions of trig equation $4\sin(x) - 3\sin(2x)=0$

Published on 14 Apr 2026 - 0:43

List Question

Showing $\lvert\cos z\rvert^2=a\cos2x+b\cosh2y$, where $z=x+iy$, for numbers $a$ and $b$ to be determined

What is the logic behind this trigonometry?

Verify the Identity $\sec^2(x)-cot^2\left(\frac{\pi}{2}-x\right)=1$

Sum of $x^k \cos(kx)$

What's a good approximation to the zeros of the cosine integral?

Verifying $\frac{\cos^2 x - \sin^2 x}{1-\tan^2 x} = \cos^2 x$

$f(\theta) = \cos \theta - \sqrt{3}\sin \theta$ in the form $r\sin(\theta-\alpha)$

Find the minimum and maximum values of $1/(\cos x + \sin x )$

Proving the formulas for $\sin 3\theta$ and $\cos 3\theta$. (Check my work.)

If $\arctan x + \arctan y = \pi/4$ show that $x+y= 1-xy$

Area issue geometry

Small angle increase to increment of $\frac{\sin x}{x}$

What is the value of $\sin(\sqrt{-1})$ ? What does it signify?

$\sin(x) + \cos(x) = \sqrt{2}\cdot \sin(x+\pi/4)$ but what is it as cosine?

General solutions of trig equation $4\sin(x) - 3\sin(2x)=0$

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