document.write( "Question 1173711: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 75 degrees at midnight and the high and low temperature during the day are 85 and 65 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.\r
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Algebra.Com's Answer #799030 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "    D(t) = 75 -   degrees.\r\n" );
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document.write( "The amplitude 10 is half the difference 85-65.\r\n" );
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document.write( "75 degrees is the mean temperature, and it happens precisely at midnight - so the sine function has no time shift.\r\n" );
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document.write( "The period is 24 hours.\r\n" );
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\n" ); document.write( "\n" ); document.write( "PLEASE pay ATTENTION that the sign before the sine function in my post is \" - \" (MINUS), as it should be,\r
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\n" ); document.write( "\n" ); document.write( "in opposite to the post by @htmentor, where the sign before the sine function is \" + \", which is WRONG.\r
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\n" ); document.write( "\n" ); document.write( "It is of significant IMPORTANTCY (!)\r
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\n" ); document.write( "\n" ); document.write( "In this problem, to miss these signs has the same effect as to miss a day and a night.\r
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