Question

Prove the identity $\cos(2x)\csc^{2}(x)=2\cos(2x)$

score 84 · Answer 1 · 2018-08-15 00:05:29

84

Views

Prove the identity $\cos(2x)\csc^{2}(x)=2\cos(2x)$

Published on 15 Aug 2018 - 0:05

score 132 · Answer 2 · 2026-04-07 11:17:07

132

Views

Find the maximum value of $3\sin{\theta \over 2} (1+\cos{\theta} )$

Published on 07 Apr 2026 - 11:17

score 723 · Answer 3 · 2018-08-15 09:10:52

723

Views

Solve $\log_{(-x^2-6x)/10}(\sin 3x+\sin x)= \log_{(-x^2-6x)/10}(\sin 2x).$

Published on 15 Aug 2018 - 9:10

score 53 · Answer 4 · 2018-08-15 11:40:45

53

Views

Solve for θ: $y = \arctan\Bigl(\frac{x· \sin(θ)- \sin(θ·x)}{x·\cos(θ)-\cos(θ·x)}\Bigr)$

Published on 15 Aug 2018 - 11:40

score 169 · Answer 5 · 2026-03-25 06:01:38

169

Views

Perpendicular line from a median in a triangle

Published on 25 Mar 2026 - 6:01

score 60 · Answer 6 · 2026-03-26 06:29:09

60

Views

Integrate $\int\frac{x \sec^2 x \times e^{\sec(x^2)}\:dx}{\cos^2(x^2)}$

Published on 26 Mar 2026 - 6:29

score 121 · Answer 7 · 2026-04-01 12:05:12

121

Views

How to properly choose a solution to a system of equations of trigonometric functions?

Published on 01 Apr 2026 - 12:05

score 1k · Answer 8 · 2026-03-31 19:13:39

1k

Views

When should I measure the angle of a complex number clockwise or anticlockwise?

Published on 31 Mar 2026 - 19:13

score 860 · Answer 9 · 2018-08-16 01:55:17

860

Views

Find the value of $\alpha,\beta$ for the equation $\cos\alpha \cos\beta \cos(\alpha +\beta)=-\frac{1}{8}$

Published on 16 Aug 2018 - 1:55

score 88 · Answer 10 · 2018-08-16 17:19:48

88

Views

Not so simple geometry (area calculation) problem

Published on 16 Aug 2018 - 17:19

score 499 · Answer 11 · 2018-08-16 18:05:50

499

Views

Function for a hexagonal 2-dimensional grid

Published on 16 Aug 2018 - 18:05

score 223 · Answer 12 · 2026-03-25 14:46:56

223

Views

Closed form of :$\int_{0}^{\pi}(\frac{\sin n x}{\sin x})^m$, with $n,m$ are integers?

Published on 25 Mar 2026 - 14:46

score 85 · Answer 13 · 2026-03-31 19:17:49

Given that $\cos\frac{k\pi}{7}$ for $k = 1,3,5$ are the roots of the equation $8x^3-4 x^2 - 4 x + 1=0$, find values of $\sin\frac{k\pi}{14}$

score 493 · Answer 14 · 2018-08-17 05:17:20

493

Views

Solving $\sec\theta - 1 = \left(\sqrt{2} - 1\right) \tan\theta$

Published on 17 Aug 2018 - 5:17

score 1.3k · Answer 15 · 2018-08-17 10:16:09

1.3k

Views

Solve : In a triangle ABC , $\tan A =2$ and $\tan B = 3/2$ . If $c = \sqrt{65}$ then the circumradius of the triangle is?

Published on 17 Aug 2018 - 10:16

List Question

Prove the identity $\cos(2x)\csc^{2}(x)=2\cos(2x)$

Find the maximum value of $3\sin{\theta \over 2} (1+\cos{\theta} )$

Solve $\log_{(-x^2-6x)/10}(\sin 3x+\sin x)= \log_{(-x^2-6x)/10}(\sin 2x).$

Solve for θ: $y = \arctan\Bigl(\frac{x· \sin(θ)- \sin(θ·x)}{x·\cos(θ)-\cos(θ·x)}\Bigr)$

Perpendicular line from a median in a triangle

Integrate $\int\frac{x \sec^2 x \times e^{\sec(x^2)}\:dx}{\cos^2(x^2)}$

How to properly choose a solution to a system of equations of trigonometric functions?

When should I measure the angle of a complex number clockwise or anticlockwise?

Find the value of $\alpha,\beta$ for the equation $\cos\alpha \cos\beta \cos(\alpha +\beta)=-\frac{1}{8}$

Not so simple geometry (area calculation) problem

Function for a hexagonal 2-dimensional grid

Closed form of :$\int_{0}^{\pi}(\frac{\sin n x}{\sin x})^m$, with $n,m$ are integers?

Given that $\cos\frac{k\pi}{7}$ for $k = 1,3,5$ are the roots of the equation $8x^3-4 x^2 - 4 x + 1=0$, find values of $\sin\frac{k\pi}{14}$

Solving $\sec\theta - 1 = \left(\sqrt{2} - 1\right) \tan\theta$

Solve : In a triangle ABC , $\tan A =2$ and $\tan B = 3/2$ . If $c = \sqrt{65}$ then the circumradius of the triangle is?

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