Question

Reexpresing a trigonometric function

score 53 · Answer 1 · 2018-04-07 16:38:48

53

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Reexpresing a trigonometric function

Published on 07 Apr 2018 - 16:38

score 1k · Answer 2 · 2026-03-27 12:03:10

1k

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What are the first four terms of the Maclaurin series of $2x\cos^2(x)$, using the series for $\cos x$?

Published on 27 Mar 2026 - 12:03

score 1k · Answer 3 · 2018-04-07 18:46:29

1k

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In the interval$ (-2\pi, 0)$, the function$ f(x) = \sin (1/x^3)$ changes its sign how many times?

Published on 07 Apr 2018 - 18:46

score 59 · Answer 4 · 2026-03-25 07:48:34

59

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Why does the method of substituting various trig functions in the angle of an inverse trig function to simplify/differentiate it work?

Published on 25 Mar 2026 - 7:48

score 1.4k · Answer 5 · 2026-03-28 07:32:26

1.4k

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Power of a complex number, find $(\sqrt{3} + i)^{99}$

Published on 28 Mar 2026 - 7:32

score 382 · Answer 6 · 2018-04-08 06:10:58

382

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Determine the amplitude, period, and phase shift of $f(t) = 2 sin t + \sqrt{3}cos t$

Published on 08 Apr 2018 - 6:10

score 3.6k · Answer 7 · 2026-04-02 06:46:11

3.6k

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Number of roots of the equation $x\sin x-1=0$ for $x\in [0,2\pi]$

Published on 02 Apr 2026 - 6:46

score 1.3k · Answer 8 · 2026-03-25 18:04:36

1.3k

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In any $\triangle ABC$, prove that: $\frac {\cos B-\cos C}{\cos A +1}=\frac {c-b}{a}$

Published on 25 Mar 2026 - 18:04

score 55 · Answer 9 · 2018-04-08 07:41:44

55

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How to prove that $(\sin\frac{1}{n}+\cos\frac{1}{n})\geqslant (\sin\frac{1}{n+1}+\cos\frac{1}{n+1})$

Published on 08 Apr 2018 - 7:41

score 250 · Answer 10 · 2018-04-08 11:33:57

250

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Parametric equation of a curve: a line in a circle transform to a curve in an ellipse

Published on 08 Apr 2018 - 11:33

score 59 · Answer 11 · 2018-04-08 17:21:37

59

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Angle trisector segments on side opposite of a triangle

Published on 08 Apr 2018 - 17:21

score 2.5k · Answer 12 · 2018-04-08 17:46:25

2.5k

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Evaluating $\prod^{100}_{k=1}\left[1+2\cos \frac{2\pi \cdot 3^k}{3^{100}+1}\right]$

Published on 08 Apr 2018 - 17:46

score 38 · Answer 13 · 2018-04-08 18:46:36

38

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Finding a Trigonometric Identity

Published on 08 Apr 2018 - 18:46

score 45 · Answer 14 · 2018-04-08 22:00:11

45

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Differentiating $x \mapsto \cos^2(x)$ in two different ways

Published on 08 Apr 2018 - 22:00

score 44 · Answer 15 · 2026-03-26 06:22:21

44

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Is :$I(t)= \int_{0}^{t} ( \sin x+\cos x)^{\operatorname{erf}(x)}dx$ complex or real for $t \to \infty $?

Published on 26 Mar 2026 - 6:22

List Question

Reexpresing a trigonometric function

What are the first four terms of the Maclaurin series of $2x\cos^2(x)$, using the series for $\cos x$?

In the interval$ (-2\pi, 0)$, the function$ f(x) = \sin (1/x^3)$ changes its sign how many times?

Why does the method of substituting various trig functions in the angle of an inverse trig function to simplify/differentiate it work?

Power of a complex number, find $(\sqrt{3} + i)^{99}$

Determine the amplitude, period, and phase shift of $f(t) = 2 sin t + \sqrt{3}cos t$

Number of roots of the equation $x\sin x-1=0$ for $x\in [0,2\pi]$

In any $\triangle ABC$, prove that: $\frac {\cos B-\cos C}{\cos A +1}=\frac {c-b}{a}$

How to prove that $(\sin\frac{1}{n}+\cos\frac{1}{n})\geqslant (\sin\frac{1}{n+1}+\cos\frac{1}{n+1})$

Parametric equation of a curve: a line in a circle transform to a curve in an ellipse

Angle trisector segments on side opposite of a triangle

Evaluating $\prod^{100}_{k=1}\left[1+2\cos \frac{2\pi \cdot 3^k}{3^{100}+1}\right]$

Finding a Trigonometric Identity

Differentiating $x \mapsto \cos^2(x)$ in two different ways

Is :$I(t)= \int_{0}^{t} ( \sin x+\cos x)^{\operatorname{erf}(x)}dx$ complex or real for $t \to \infty $?

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