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March 29, 2024, 01:43:53 am

Author Topic: solve for the following equation  (Read 1310 times)  Share 

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droodles

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solve for the following equation
« on: December 03, 2007, 10:36:01 pm »
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DOMAIN x [0,2]

sin (2∏x)=-1/2
-sin (2∏x) = ∏/6

???

Collin Li

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Re: solve for the following equation
« Reply #1 on: December 03, 2007, 10:41:44 pm »
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2sin(2pix) = -1, dom: [0,2]

period = 2pi/2pi = 1

=> sin(2pix) = -1/2

Negative solution: Q3 and Q4
=> 2pix = 7pi/6, 11pi/6
=> x = 7/12, 11/12

Add/subtract periods to get all solutions for x from [0,2]:
x = 7/12, 11/12, 19/12, 23/12

Neobeo

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Re: solve for the following equation
« Reply #2 on: December 03, 2007, 10:51:05 pm »
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LaTeX test. Also, wondering if it was possible to insert a linebreak.

Solve for x in the domain [0,2]:



Solution by coblin:

, dom:

Period =


Negative solution: Q3 and Q4



Add/subtract periods to get all solutions for x from [0,2]:
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Ahmad

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Re: solve for the following equation
« Reply #3 on: December 04, 2007, 04:34:52 pm »
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Neobeo, using \sin rather than just sin is preferred when using   :)

Compare:
rather than
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