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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,062

the value of

options are:-

A) 4.5

B) 4

C) 8

D) 9

friendship is tan 90°.

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,082

hi Niharika,

Oh, that looks evil. But what can you do? Just use trig. formulas as they present themselves.

(i) Write sec as 1/cos and cosec as 1/sin

(ii) Put over common denominator.

(iii) Throw in some 2s to make root 3 into sin(x) and 1 into cos(x) and to get an extra factor of 2 on the denominator. Where you introduce a /2 or x2, compensate by x2 or /2 as necessary. Leave any additional 2s alone.

(iv) Use sin(2y) = 2sin(y).cos(y) on the denominator and sin(x-y) = sin(x).cos(y) - sin(y).cos(x) on the numerator.

(v) Simplify.

(vi) Look smug when all that is left is the answer. (What! no 'smug' smiley? I'll just have to make do with these.)

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,062

thank you bob.

I was breaking my head on this without getting the head or tail of the question.You made it so simple.

I got the answer and its right.

Thanks again.

friendship is tan 90°.

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Did you mean 20 degrees?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Yes, and it can also be done with Taylor series and interval arithmetic,

**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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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,062

taylor series and interval arithmetic...

Can you please explain something about that?

friendship is tan 90°.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

It was for Agnishom actually. He now has the tools to answer questions like that. It exploits the weaknesses if the multiple choice question system. Your teacher will hate it.

**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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What is the weakness? Interval system?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

The multiple choice system is particularly suited to exploitation by the methods of experimental mathematics. You can look up Taylor series and interval arithmetic inside your package and please do so.

Mind you I recommend that you first understand the standard method like what Bob did. Once you do you can experiment with other methods.

Also, it is not a shortcut, it requires that you learn more mathematics. But in case you get stuck an alternative method is always good.

**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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