Question

Prove that $2\tan^{-1}\frac{\sqrt{a^{2}- 2}}{a}= \tan^{-\,1}a\sqrt{a^{2}- 2} $

score 89 · Answer 1 · 2026-04-16 07:32:25

89

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Prove that $2\tan^{-1}\frac{\sqrt{a^{2}- 2}}{a}= \tan^{-\,1}a\sqrt{a^{2}- 2} $

Published on 16 Apr 2026 - 7:32

score 682 · Answer 2 · 2026-04-15 05:23:49

682

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Prove that $4\sin\frac{2\pi}{7}- \tan\frac{\pi}{7}= \sqrt{7}$ .

Published on 15 Apr 2026 - 5:23

score 66 · Answer 3 · 2026-04-10 18:35:55

66

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Telling the greatest angle of the triangle when slopes are given

Published on 10 Apr 2026 - 18:35

score 127 · Answer 4 · 2026-04-17 01:37:20

Solving $\cos\frac{a+2 x}{\frac{5 a^2}{2}+2ax+2x^2}=\cos\frac{2 x-a}{\frac{5 a^2}{2}-2 a x+2 x^2}$, with $a\geq\frac{1}{2\pi}$

score 26 · Answer 5 · 2026-04-10 17:51:58

26

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Express coordinate z of a point on cycle accoring to angle from (0,0,0)

Published on 10 Apr 2026 - 17:51

score 497 · Answer 6 · 2026-04-15 05:24:14

Finding the value of $\sin {^4 \frac{\pi}{16}} +\sin {^4 \frac{3\pi}{16}} +\sin {^4 \frac{5\pi}{16}} +\sin {^4 \frac{7\pi}{16}} $

score 128 · Answer 7 · 2026-04-16 01:55:39

Eliminate $\theta$ from from $\frac{x-k\sin \theta \cot \alpha}{k \cos \theta}=\frac{y-k\cos \theta \tan \alpha}{k \sin \theta}=\frac{z}{c}$

score 98 · Answer 8 · 2026-04-09 20:11:18

98

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Seeking a closed-form solution of a system of nonlinear trigonometric equations (converting Euler angles to spherical)

Published on 09 Apr 2026 - 20:11

score 281 · Answer 9 · 2026-04-17 14:34:51

281

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prove that $ 2 \arctan({\csc \arctan x - \tan \text{arccot }x}) = \arctan x $

Published on 17 Apr 2026 - 14:34

score 245 · Answer 10 · 2026-04-16 14:14:41

245

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Solve for x in $ x^2 + y^2 = 1 $ and $ x \pm y = \frac \pi4 $

Published on 16 Apr 2026 - 14:14

score 110 · Answer 11 · 2026-04-15 13:33:00

110

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Calculus, $i = 2 \cos (50πt - 0.4)$ Determine the minimum value and time when this minimum occurs.

Published on 15 Apr 2026 - 13:33

score 71 · Answer 12 · 2026-04-10 21:50:29

71

Views

Solve a trigonometric equation where one constant can be negative

Published on 10 Apr 2026 - 21:50

score 132 · Answer 13 · 2026-04-13 07:59:51

132

Views

Angular velocity of a unit vector given spherical angles

Published on 13 Apr 2026 - 7:59

score 49 · Answer 14 · 2026-04-12 11:22:45

49

Views

Non-negative trigonometric polynomials to exponential form

Published on 12 Apr 2026 - 11:22

score 400 · Answer 15 · 2026-04-15 05:04:50

400

Views

Rotation Matrix and Triple Angle Formulas?

Published on 15 Apr 2026 - 5:04

List Question

Prove that $2\tan^{-1}\frac{\sqrt{a^{2}- 2}}{a}= \tan^{-\,1}a\sqrt{a^{2}- 2} $

Prove that $4\sin\frac{2\pi}{7}- \tan\frac{\pi}{7}= \sqrt{7}$ .

Telling the greatest angle of the triangle when slopes are given

Solving $\cos\frac{a+2 x}{\frac{5 a^2}{2}+2ax+2x^2}=\cos\frac{2 x-a}{\frac{5 a^2}{2}-2 a x+2 x^2}$, with $a\geq\frac{1}{2\pi}$

Express coordinate z of a point on cycle accoring to angle from (0,0,0)

Finding the value of $\sin {^4 \frac{\pi}{16}} +\sin {^4 \frac{3\pi}{16}} +\sin {^4 \frac{5\pi}{16}} +\sin {^4 \frac{7\pi}{16}} $

Eliminate $\theta$ from from $\frac{x-k\sin \theta \cot \alpha}{k \cos \theta}=\frac{y-k\cos \theta \tan \alpha}{k \sin \theta}=\frac{z}{c}$

Seeking a closed-form solution of a system of nonlinear trigonometric equations (converting Euler angles to spherical)

prove that $ 2 \arctan({\csc \arctan x - \tan \text{arccot }x}) = \arctan x $

Solve for x in $ x^2 + y^2 = 1 $ and $ x \pm y = \frac \pi4 $

Calculus, $i = 2 \cos (50πt - 0.4)$ Determine the minimum value and time when this minimum occurs.

Solve a trigonometric equation where one constant can be negative

Angular velocity of a unit vector given spherical angles

Non-negative trigonometric polynomials to exponential form

Rotation Matrix and Triple Angle Formulas?

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