document.write( "Question 1060188: Write 5sin(t)-12cos(t) in the form of Asin(Bt+ϕ) using sum or difference formulas. \n" ); document.write( "

Algebra.Com's Answer #675174 by ikleyn(52884) $\"\"$ $\"About$

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\n" ); document.write( "Write 5sin(t)-12cos(t) in the form of Asin(Bt+ϕ) using sum or difference formulas.
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document.write( "First,  5sin(t) - 12cos(t) = .   (1)\r\n" );
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document.write( "Second, the angle  does exist such that  =  and  = . \r\n" );
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document.write( "    The rationality for it is the fact that  = 1.\r\n" );
document.write( "    You can easily check this identity keeping in mind that  = .\r\n" );
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document.write( "Now, you can write (re-write) the formula (1) as follows\r\n" );
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document.write( "5sin(t) - 12cos(t) =  =  = .\r\n" );
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document.write( "Thus we presented  5sin(t) - 12cos(t) in the form    with A = 13,  B = 1,  and   =  = .\r\n" );
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Solved.\r
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