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The absolute of the expression$\frac{1+\sqrt3 \tan 1^o}{\sqrt3 -\tan 1^o} \cdot \frac{\tan 89^o}{\cot 3^o}$ is equal to...

score 4.4k · Answer 1 · 2026-04-16 02:36:27

The absolute of the expression$\frac{1+\sqrt3 \tan 1^o}{\sqrt3 -\tan 1^o} \cdot \frac{\tan 89^o}{\cot 3^o}$ is equal to...

score 203 · Answer 2 · 2026-04-17 01:13:50

203

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Compute $\lim\limits_{x \to +\infty}\frac{\ln x}{ \int_0^x \frac{|\sin t|}{t}{\rm d}t}$

Published on 17 Apr 2026 - 1:13

score 81 · Answer 3 · 2026-04-16 13:50:12

81

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Evaluating $\int\frac{dx}{\sqrt{4-9x^2}}$ with different trig substitutions ($\sin$ vs $\cos$) gives different results

Published on 16 Apr 2026 - 13:50

score 235 · Answer 4 · 2026-04-16 00:20:13

235

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Extremal Area and side length of a triangle in a circle

Published on 16 Apr 2026 - 0:20

score 116 · Answer 5 · 2026-04-16 08:22:04

116

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Solving $\sin(x)-\cos(x)=1$

Published on 16 Apr 2026 - 8:22

score 137 · Answer 6 · 2026-04-15 23:46:58

137

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Why do these calculators give different angles? ($244^\circ$ vs $-116^\circ$)

Published on 15 Apr 2026 - 23:46

score 90 · Answer 7 · 2026-04-16 04:27:24

90

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If $\frac{\sin^2 x}{a} = \frac{\cos^2 x}{b}$, then prove that they are also equal to $\frac{\sin^2 x + \cos^2 x}{a+b}$

Published on 16 Apr 2026 - 4:27

score 245 · Answer 8 · 2026-04-14 23:47:45

245

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Using trigonometric formulas to prove that $m_1m_2$ = -1 for perpendicular lines?

Published on 14 Apr 2026 - 23:47

score 88 · Answer 9 · 2026-04-14 05:35:56

88

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What is $\sin^{-1}(]\sin(x)-\varepsilon,\sin(x)+\varepsilon[)$?

Published on 14 Apr 2026 - 5:35

score 656 · Answer 10 · 2026-04-11 03:08:40

656

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Arcsine as a complex natural logarithm

Published on 11 Apr 2026 - 3:08

score 229 · Answer 11 · 2026-04-17 15:18:52

229

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Solving $4\sin^2{x}\cos^2{x}-\cos^2{x}=0$

Published on 17 Apr 2026 - 15:18

score 145 · Answer 12 · 2026-04-16 08:31:52

145

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Find max and min of $11\cos^2\theta+3\sin\theta+6\sin\theta\cos\theta+5$

Published on 16 Apr 2026 - 8:31

score 165 · Answer 13 · 2026-04-15 20:17:35

165

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Prove $\sin (-\alpha ) = -\sin(\alpha)$ and $\cos(-\alpha) = \cos(\alpha)$

Published on 15 Apr 2026 - 20:17

score 209 · Answer 14 · 2026-04-16 10:20:14

Show that $2\sin{\phi}\sin{\theta}+\frac{2\sin{\phi}\cos{(2\theta)}}{\sin{\theta}}-2\cot{\theta}\sin{\phi}\cos{\theta}=0$ as simply as possible.

score 285 · Answer 15 · 2026-04-10 19:26:27

285

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Mathematics behind distance estimation using camera

Published on 10 Apr 2026 - 19:26

List Question

The absolute of the expression$\frac{1+\sqrt3 \tan 1^o}{\sqrt3 -\tan 1^o} \cdot \frac{\tan 89^o}{\cot 3^o}$ is equal to...

Compute $\lim\limits_{x \to +\infty}\frac{\ln x}{ \int_0^x \frac{|\sin t|}{t}{\rm d}t}$

Evaluating $\int\frac{dx}{\sqrt{4-9x^2}}$ with different trig substitutions ($\sin$ vs $\cos$) gives different results

Extremal Area and side length of a triangle in a circle

Solving $\sin(x)-\cos(x)=1$

Why do these calculators give different angles? ($244^\circ$ vs $-116^\circ$)

If $\frac{\sin^2 x}{a} = \frac{\cos^2 x}{b}$, then prove that they are also equal to $\frac{\sin^2 x + \cos^2 x}{a+b}$

Using trigonometric formulas to prove that $m_1m_2$ = -1 for perpendicular lines?

What is $\sin^{-1}(]\sin(x)-\varepsilon,\sin(x)+\varepsilon[)$?

Arcsine as a complex natural logarithm

Solving $4\sin^2{x}\cos^2{x}-\cos^2{x}=0$

Find max and min of $11\cos^2\theta+3\sin\theta+6\sin\theta\cos\theta+5$

Prove $\sin (-\alpha ) = -\sin(\alpha)$ and $\cos(-\alpha) = \cos(\alpha)$

Show that $2\sin{\phi}\sin{\theta}+\frac{2\sin{\phi}\cos{(2\theta)}}{\sin{\theta}}-2\cot{\theta}\sin{\phi}\cos{\theta}=0$ as simply as possible.

Mathematics behind distance estimation using camera

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