Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T#234.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T#235.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 236.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 237.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 238.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 239.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 240.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 241.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 242.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 243.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 243.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 244.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 245.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**pamshaw****Member**- Registered: 2021-12-07
- Posts: 21

Hello,

What an interesting trigonometry question.

tan² θ +1 = sec² θ, θ = 30°

For easier to write, assuming for θ to be x

Prove that tan ^2 x + 1 = sec ^2 x.

LHS = tan ^2 x + 1

= sin^2 x / cos^2 x + 1

= sin^2 x/ cos^2 x + cos^2 x/cos^2 x

= (sin^2 x + cos^2 x)/ cos^2 x

= 1/cos ^2 x

= sec^2 x Hence, Proved.

*Last edited by pamshaw (2022-03-13 23:40:47)*

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi pamshaw,

This is a section exclusively for 'Ganesh's Puzzles'. Post in 'Games and Puzzles' in future.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**pamshaw****Member**- Registered: 2021-12-07
- Posts: 21

ganesh wrote:

Hi pamshaw,

This is a section exclusively for 'Ganesh's Puzzles'. Post in 'Games and Puzzles' in future.

Hello Ganesh!

First of all thank you so much for your words it's mean alot to me. Secondly I find it helpful and just share the importance of trigonometry in our life and its applications in various important fields that make our life easier. After reading the following stuff:

mytutorsource.qa/blog/applications-of-trigonometry-in-real-life

https://www.mathisfunforum.com/viewtopic.php?id=2966

https://www.mathisfunforum.com/viewtopic.php?id=17410

http://www.mathisfunforum.com/viewtopic.php?id=17125

*Last edited by pamshaw (2022-03-20 20:47:36)*

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi pamshaw,

This topic is for 'Ganesh's puzzle.'

You can use 'Help me' or 'This is Cool' or 'Games and Puzzles'

Ganesh"s puzzles are posted by .me and others reply.

I have made amply clear now.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**pamshaw****Member**- Registered: 2021-12-07
- Posts: 21

ganesh wrote:

Hi pamshaw,

This topic is for 'Ganesh's puzzle.'

You can use 'Help me' or 'This is Cool' or 'Games and Puzzles'

Ganesh"s puzzles are posted by .me and others reply.

I have made amply clear now.

Acknowledge!

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T#245.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Not Dav****Member**- From: Animal kingdom
- Registered: 2021-04-22
- Posts: 55

I wish thee not, yet it is always -Anonymous

Offline

**pi_cubed****Member**- From: A rhombicosidodecahedron
- Registered: 2020-06-22
- Posts: 115

pi³

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi Not Dav and pi_cubed,

Excellent!

T # 246.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 247.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 248.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,283

Hi,

T # 249.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline