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#2376 2012-12-24 22:06:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2377 2012-12-25 18:36:09

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1685 is correct. Good work!

#1686. Find 2 + 7 + 12 + ..... to 10 terms.


Character is who you are when no one is looking.

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#2378 2012-12-25 18:43:22

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,849
Website

Re: Oral puzzles

Last edited by julianthemath (2012-12-26 12:12:06)


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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#2379 2012-12-25 22:07:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi;

Yikes! I gave the 10th term instead of the sum!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2380 2012-12-25 22:11:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Oral puzzles

Hi ganesh

[hide=#1686]245[/hode]


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2381 2012-12-26 19:33:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi,

The solution #1686 is correct, julianthemath and anonimnystefy! Neat work!

#1687. In triangle PQR, angle Q = 90 degrees. Find tan P - cot R.


Character is who you are when no one is looking.

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#2382 2012-12-26 21:17:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2383 2012-12-27 12:50:14

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,849
Website

Re: Oral puzzles

I think this is a right triangle.
So, I will compute:
180-90=90
Split:45
I don't know if tan P is 45
and cot R is 45, too.
rolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyesrolleyes


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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#2384 2012-12-27 19:10:57

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym and julianthemath,

The solution #1687 is

Excellent, bobbym!

#1688. Given 15 cot A = 8, find sin A and sec A.


Character is who you are when no one is looking.

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#2385 2012-12-28 08:15:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2386 2012-12-28 17:54:07

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1688 is perfect. Smart work!

#1689. If cot θ = 7/8, find the value of


Character is who you are when no one is looking.

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#2387 2012-12-28 22:52:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2388 2012-12-29 18:43:58

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1689 is correct. Good work!

#1690. If

, find cos θ  and tan θ.


Character is who you are when no one is looking.

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#2389 2012-12-30 01:08:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2390 2012-12-30 18:45:44

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1690 (both parts) is correct. Excellent!

#1691. If tan A =

, find the value of tan A/(1 + tan[sup]2[/sup]A).


Character is who you are when no one is looking.

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#2391 2012-12-31 02:35:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2392 2012-12-31 18:45:50

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1691 is correct. Good work!

#1692. Evaluate : (cos 45[sup]o[/sup])/(sec 30[sup]o[/sup] + cosec 30[sup]o[/sup])


Character is who you are when no one is looking.

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#2393 2013-01-01 01:53:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2394 2013-01-01 19:00:23

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi bobbym,

The solution #1692 is perfect. Excellent!

#1693. If

, then find the value of cot A.


Character is who you are when no one is looking.

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#2395 2013-01-01 23:39:24

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Oral puzzles

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#2396 2013-01-02 03:33:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2397 2013-01-02 19:21:22

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi scientia and bobbym,

The solution #1693 is correct. Neat work!

#1694. Find the value of cot[sup]2[/sup] θ - 1/sin[sup]2[/sup] θ.


Character is who you are when no one is looking.

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#2398 2013-01-02 23:07:47

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Oral puzzles

Last edited by scientia (2013-01-02 23:08:25)

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#2399 2013-01-03 02:24:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,255

Re: Oral puzzles

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2400 2013-01-03 18:27:26

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,537

Re: Oral puzzles

Hi scientia and bobbym,

The solution #1694 is correct. Neat work!

#1695. If cos θ = 21/29, find the value of (sec θ)/(tan θ - sin θ).


Character is who you are when no one is looking.

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