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#1 2008-12-24 20:34:21

Identity
Member
Registered: 2007-04-18
Posts: 934

exact value

Find the exact value of

Is there a way to do this without drawing a triangle, what's the most efficient way? The book doesn't say which way it should be done.


Also, when finding

using triangles, you could have opp/adj = 2/-1 or opp/adj = -2/1 ... so couldn't there be 2 possible solutions?

Last edited by Identity (2008-12-24 21:29:59)

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#2 2008-12-24 22:16:42

luca-deltodesco
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Registered: 2006-05-05
Posts: 1,470

Re: exact value




Trying both roots, the positive is correct, the negative incorrect

...







infact, it turns out that you must take the negative root, if x is negative, and the positive root if x is positive

Last edited by luca-deltodesco (2008-12-24 22:28:06)


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#3 2008-12-25 00:03:53

Identity
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Registered: 2007-04-18
Posts: 934

Re: exact value

Wow, very nice ! Thanks luca

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#4 2008-12-25 00:25:43

Daniel123
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Registered: 2007-05-23
Posts: 663

Re: exact value

I think it's much quicker/easier/nicer to draw a triangle. The identities luca's used all come from triangles anyway.

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#5 2017-07-14 16:11:51

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 860

Re: exact value

Daniel123 wrote:

I think it's much quicker/easier/nicer to draw a triangle. The identities luca's used all come from triangles anyway.

Agree. By looking at the sine value, we know that the height is 4 and the hypotenuse is 5. Thus, with the Pythagorean theorem we know that the base is 3.

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