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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,845
- Website

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

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,845
- Website

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.

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,528

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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