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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi bobbym,

The solution #1685 is correct. Good work!

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,247

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

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi;

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

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,016

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

The knowledge of some things as a function of age is a delta function.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi,

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

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,247

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.

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi bobbym and julianthemath,

The solution #1687 is

Excellent, bobbym!

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi bobbym,

The solution #1688 is perfect. Smart work!

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

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi bobbym,

The solution #1689 is correct. Good work!

#1690. If

, find cos θ and tan θ.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

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])

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

Hi bobbym,

The solution #1692 is perfect. Excellent!

#1693. If

, then find the value of cot A.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**scientia****Member**- Registered: 2009-11-13
- Posts: 224

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

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.

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

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**scientia****Member**- Registered: 2009-11-13
- Posts: 224

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,700

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,482

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).

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

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