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#151 2015-03-31 18:11:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#152 2015-04-01 00:04:26

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

Hi bobbym,

The solutions T#69 and T#70 are correct. Good work!

T#71. Evaluate:

T#72. Evaluate:

.


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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#153 2015-04-01 14:35:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#154 2015-04-01 17:23:44

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

Hi bobbym,

The solutions T#71 and T#72 are correct. Neat work!

#T#73. Find the acute angle

when

.


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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#155 2015-04-02 18:09:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#156 2015-04-02 22:02:16

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

Hi bobbym,

The solution T#73 is perfect! Fantastic!

T#74. Find the value of

.


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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#157 2015-04-03 16:22:38

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#158 2015-04-03 18:06:25

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

Hi bobbym,

The solution T#74 is correct. Good work!

T#75. If

is an acute angle and
, find the value of
.


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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#159 2015-04-04 12:19:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#160 2015-04-04 18:55:13

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

hi bobbym,

The solution T#75 is correct. Good work!

T#76. Simplify:

.


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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#161 2015-04-11 22:51:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#162 2015-05-25 08:38:24

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 373

Re: Trigonometry

Hi bobbym; I realize from experimentation that your answer T#76 is absolutely right. But I'm not able to simplify and get your answer. May I know the approach you used to arrive at your response? Or anyone else can help? Many thanks.
m9m


Only a friend tells you your face is dirty.

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#163 2015-05-25 08:41:42

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 373

Re: Trigonometry

Dear ganesh, there is an error in the numbering of questions here, from page 6 to this 7. It begins from T#54 to 55 to 56 which you mistook for 65 and 66. Could you please check that? Thank you.


Only a friend tells you your face is dirty.

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#164 2015-05-25 09:06:12

zetafunc
Member
Registered: 2014-05-21
Posts: 1,823
Website

Re: Trigonometry

math9maniac wrote:

Hi bobbym; I realize from experimentation that your answer T#76 is absolutely right. But I'm not able to simplify and get your answer. May I know the approach you used to arrive at your response? Or anyone else can help? Many thanks.
m9m

Last edited by zetafunc (2015-05-25 09:43:38)

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#165 2015-05-25 11:07:49

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,529

Re: Trigonometry

Hi;

I realize from experimentation that your answer is absolutely right.

I suggest you look at zetafunc's approach. Mine, if I can remember that far back was done using series methods. This might be confusing to you now, so just know that the way you can test an answer with experimentation, you can also get one in that way.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#166 2015-05-25 16:21:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,620

Re: Trigonometry

Hi,

math9maniac wrote:

Dear ganesh, there is an error in the numbering of questions here, from page 6 to this 7. It begins from T#54 to 55 to 56 which you mistook for 65 and 66. Could you please check that? Thank you.

You are right! Thanks!


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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#167 2015-05-25 16:53:11

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 373

Re: Trigonometry

Hi;
Thanks bobbym and zetafunc although I do not entirely understand that.

You're welcome ganesh. Now, will we leave them as they are or a little editing will do?


Only a friend tells you your face is dirty.

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#168 2015-05-25 20:03:47

zetafunc
Member
Registered: 2014-05-21
Posts: 1,823
Website

Re: Trigonometry

math9maniac wrote:

Hi;
Thanks bobbym and zetafunc although I do not entirely understand that.

You're welcome ganesh. Now, will we leave them as they are or a little editing will do?

You are welcome to create a thread in Help Me if you need any more help -- we'll do our best to respond to any troubles you might have.

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