document.write( "Question 296467: how do you solve cos2(x)-sin^2(x)+ sin(x) + 1 = 0 ? \n" ); document.write( "

Algebra.Com's Answer #213613 by stanbon(75887) $\"\"$ $\"About$

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how do you solve cos^2(x)-sin^2(x)+ sin(x) + 1 = 0 ?
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\n" ); document.write( "Since cos^2(x) = 1-sin^2(x)
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\n" ); document.write( "1-sin^2(x) - sin^2(x) + sin(x) = 0
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\n" ); document.write( "-2sin^2(x)+sin(x)+1 = 0
\n" ); document.write( "2sin^2(x) - sin(x) -1 = 0
\n" ); document.write( "(2sin(x) + 1)(sin(x) -1) = 0
\n" ); document.write( "sin(x) = -1/2 or sin(x) = 1
\n" ); document.write( "---
\n" ); document.write( "x = (7/6)pi or x = (11/12)pi or x = pi/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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