User MathMinded

7 votes

How to show $\int_{-\pi/2}^{\pi/2} \frac{\sec\theta}{2\tan^2\theta \space+\space 1}\,\Bbb d\theta = \frac{\pi}{2}$

answered Nov 24, 2023 at 5:53

6 votes

Connecting $\sqrt{i \sqrt{i \sqrt{i \sqrt{i \dots}}}}$ to an infinite process?

answered May 13, 2022 at 5:28

5 votes

Accepted

Help in proving $\sqrt{a-1}+\sqrt{b-1}+\sqrt{c-1}\leq \sqrt{a(bc+1)}$

answered May 13, 2022 at 11:29

5 votes

what makes some line to be a tangent line on to other Graph.

answered May 14, 2022 at 6:31

5 votes

Accepted

A beautiful problem on the Pigeonhole Principle

answered May 15, 2022 at 7:18

4 votes

Accepted

If a prime divides an integer of the form $n^2+1$ then ...

answered May 8, 2022 at 3:53

4 votes

Find the value of angle x (Langley's Adventitious Angles variant)

answered Feb 3, 2021 at 5:08

3 votes

How to prove $\frac{1}{\sqrt{a} + \sqrt{b}} = \sqrt{a} - \sqrt{b}$?

answered May 14, 2022 at 13:23

3 votes

Expected length of sum of vectors

answered May 12, 2022 at 6:00

3 votes

APMO 2020 Geometry Problem | Proving lines to be concurrent

answered May 12, 2022 at 15:59

3 votes

Accepted

Are all GCD-Sequences Divisor Product sequences too?

answered Nov 26, 2023 at 14:41

3 votes

Accepted

Prove that the rest of the square can be tiled with $L$-trominos

answered Nov 27, 2023 at 9:28

2 votes

how to obtain the value of $\frac{dy}{dx}$ at $x=1$ here...

answered Nov 25, 2023 at 15:27

2 votes

Olympiad Geometry | Homothety 2

answered Feb 29 at 7:04

2 votes

Accepted

Limits involving exponents

answered May 14, 2022 at 4:54

2 votes

Let $x \in (0,1).$ How to show that $x \in \bigcup \left(0, \frac{n}{n+1}\right)$?

answered May 11, 2022 at 5:14

2 votes

Proof that ${2p\choose p}\equiv 2\pmod p$

answered Feb 28, 2021 at 10:09

2 votes

Accepted

Proving a formula for the area of a convex quadrilateral with an incircle

answered Feb 2, 2022 at 8:29

2 votes

Intuitive ways to get formula of cubic sum

answered May 15, 2022 at 0:22

2 votes

Solve for $a,b,c,d$ over $a^4+b^4+c^4+d^4=48, abcd=12$

answered May 11, 2022 at 15:28

1 vote

how do you find the $x$ value for $-\sin x+\cos x=0$

answered Feb 6, 2021 at 9:23

1 vote

Accepted

How to determine the maximum area of the triangle given by

answered Feb 6, 2021 at 10:24

1 vote

Show that the midpoints of two segments coincide

answered Feb 6, 2021 at 9:52

1 vote

What is the meaning of "prove $\{a,b\}=\{c,d\}$" in this question?

answered Feb 6, 2021 at 9:36

1 vote

From the equations prove $\{a,b\}=\{c,d\}$

answered Feb 6, 2021 at 10:47

1 vote

Accepted

How do i calculate the determinant of this matrix?

answered Jun 4, 2021 at 12:00

1 vote

Prove using induction that ${p - 1 \choose n} \equiv (-1)^n \bmod p$ for $0 \leq n \leq p - 1$ where $p > 2$ is prime

answered May 8, 2022 at 3:02

1 vote

Accepted

Drawing isosceles right triangle on unit circle for intuitive meaning of √2/2

answered Nov 25, 2023 at 12:12

1 vote

Proving that the multiplicative group mod p (p is prime) is cyclic

answered Nov 25, 2023 at 15:21

1 vote

GCD induction proof

answered Nov 24, 2023 at 7:03

Stack Exchange Network

40 Answers

How to show $\int_{-\pi/2}^{\pi/2} \frac{\sec\theta}{2\tan^2\theta \space+\space 1}\,\Bbb d\theta = \frac{\pi}{2}$

Connecting $\sqrt{i \sqrt{i \sqrt{i \sqrt{i \dots}}}}$ to an infinite process?

Help in proving $\sqrt{a-1}+\sqrt{b-1}+\sqrt{c-1}\leq \sqrt{a(bc+1)}$

what makes some line to be a tangent line on to other Graph.

A beautiful problem on the Pigeonhole Principle

If a prime divides an integer of the form $n^2+1$ then ...

Find the value of angle x (Langley's Adventitious Angles variant)

How to prove $\frac{1}{\sqrt{a} + \sqrt{b}} = \sqrt{a} - \sqrt{b}$?

Expected length of sum of vectors

APMO 2020 Geometry Problem | Proving lines to be concurrent

Are all GCD-Sequences Divisor Product sequences too?

Prove that the rest of the square can be tiled with $L$-trominos

how to obtain the value of $\frac{dy}{dx}$ at $x=1$ here...

Olympiad Geometry | Homothety 2

Limits involving exponents

Let $x \in (0,1).$ How to show that $x \in \bigcup \left(0, \frac{n}{n+1}\right)$?

Proof that ${2p\choose p}\equiv 2\pmod p$

Proving a formula for the area of a convex quadrilateral with an incircle

Intuitive ways to get formula of cubic sum

Solve for $a,b,c,d$ over $a^4+b^4+c^4+d^4=48, abcd=12$

how do you find the $x$ value for $-\sin x+\cos x=0$

How to determine the maximum area of the triangle given by

Show that the midpoints of two segments coincide

What is the meaning of "prove $\{a,b\}=\{c,d\}$" in this question?

From the equations prove $\{a,b\}=\{c,d\}$

How do i calculate the determinant of this matrix?

Prove using induction that ${p - 1 \choose n} \equiv (-1)^n \bmod p$ for $0 \leq n \leq p - 1$ where $p > 2$ is prime

Drawing isosceles right triangle on unit circle for intuitive meaning of √2/2

Proving that the multiplicative group mod p (p is prime) is cyclic

GCD induction proof