Question

Prove $\lceil z \rceil=z+\frac12-\frac{\tan^{-1}(\tan(\pi(z+0.5)))}{\pi}$ when $z$ is not an integer

score 287 · Answer 1 · 2026-04-14 15:21:12

287

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Prove $\lceil z \rceil=z+\frac12-\frac{\tan^{-1}(\tan(\pi(z+0.5)))}{\pi}$ when $z$ is not an integer

Published on 14 Apr 2026 - 15:21

score 82 · Answer 2 · 2026-04-10 20:43:08

82

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Mistake in evaluating the secant integral?

Published on 10 Apr 2026 - 20:43

score 68 · Answer 3 · 2026-04-14 00:34:05

68

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Is the phase shift of $-3\sin\left(2x+\frac{\pi}{2}\right)+1$ equal to $-\frac{\pi}{4}$ or just $-\frac{\pi}{2}$?

Published on 14 Apr 2026 - 0:34

score 1.2k · Answer 4 · 2026-04-09 06:54:41

1.2k

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Finding the height of a building given two angles of elevation

Published on 09 Apr 2026 - 6:54

score 543 · Answer 5 · 2026-04-08 07:42:48

543

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How Can the Units of an Angle Measurement Affect the Derivative of Sine?

Published on 08 Apr 2026 - 7:42

score 310 · Answer 6 · 2026-04-16 19:01:58

310

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Find Maxima and Minima of $f( \theta) = a \sin^2 \theta + b \sin \theta \cos \theta + c \cos^2 \theta$

Published on 16 Apr 2026 - 19:01

score 70 · Answer 7 · 2026-04-16 06:13:16

70

Views

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score 91 · Answer 8 · 2026-04-14 12:40:04

91

Views

derivative of Inverse Trigonometric problems

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score 196 · Answer 9 · 2026-04-11 10:22:23

How to convert 1000° into radian unit in order to find the corresponding point on the trigonometric circle. Is there a general formula to do this?

score 49 · Answer 10 · 2026-04-16 15:22:49

49

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Why are there conditions for $\sin^{-1} ({x\sqrt{1-y^2} +y\sqrt{1-x^2}})$

Published on 16 Apr 2026 - 15:22

score 58 · Answer 11 · 2026-04-12 08:53:22

58

Views

Finding the dimensions of scaled down triangles

Published on 12 Apr 2026 - 8:53

score 677 · Answer 12 · 2026-04-10 04:23:02

677

Views

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Published on 10 Apr 2026 - 4:23

score 50 · Answer 13 · 2026-04-13 17:28:27

50

Views

Is there a function such that f(x)= the decimal part of x ( sister function of integer part function).

Published on 13 Apr 2026 - 17:28

score 524 · Answer 14 · 2026-04-09 02:36:06

524

Views

How to find arc angle with known other arc?

Published on 09 Apr 2026 - 2:36

score 399 · Answer 15 · 2026-04-16 08:15:44

399

Views

How to rewrite $a\sin x+b\cos x$ just using $\sin x$ or $\cos x$?

Published on 16 Apr 2026 - 8:15

List Question

Prove $\lceil z \rceil=z+\frac12-\frac{\tan^{-1}(\tan(\pi(z+0.5)))}{\pi}$ when $z$ is not an integer

Mistake in evaluating the secant integral?

Is the phase shift of $-3\sin\left(2x+\frac{\pi}{2}\right)+1$ equal to $-\frac{\pi}{4}$ or just $-\frac{\pi}{2}$?

Finding the height of a building given two angles of elevation

How Can the Units of an Angle Measurement Affect the Derivative of Sine?

Find Maxima and Minima of $f( \theta) = a \sin^2 \theta + b \sin \theta \cos \theta + c \cos^2 \theta$

Trigonometric series Cosecant^4

derivative of Inverse Trigonometric problems

How to convert 1000° into radian unit in order to find the corresponding point on the trigonometric circle. Is there a general formula to do this?

Why are there conditions for $\sin^{-1} ({x\sqrt{1-y^2} +y\sqrt{1-x^2}})$

Finding the dimensions of scaled down triangles

Determining the height of a hill from angles of elevation

Is there a function such that f(x)= the decimal part of x ( sister function of integer part function).

How to find arc angle with known other arc?

How to rewrite $a\sin x+b\cos x$ just using $\sin x$ or $\cos x$?

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