document.write( "Question 430840: I am stuck on the following question:\r
\n" ); document.write( "\n" ); document.write( "Solve for x in the equation: (1+sinx)/cosx + cosx/(1+sinx) = 4 for 0<=x<=2pi rads\r
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Algebra.Com's Answer #299139 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve for x in the equation: (1+sinx)/cosx + cosx/(1+sinx) = 4 for 0<=x<=2pi rads
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\n" ); document.write( " (1+sinx)/cosx + cosx/(1+sinx) = 4
\n" ); document.write( "LCD: (cosx)(1+sinx)
\n" ); document.write( "(1+sinx)^2+cos^2x=4(cosx)(1+sinx)
\n" ); document.write( "1+2sinx+sin^2x+cos^2x=4(cosx)(1+sinx)
\n" ); document.write( "sin^2x+cos^2x=1
\n" ); document.write( "2+2sinx=4(cosx)(1+sinx)
\n" ); document.write( "2(1+sinx)=4(cosx)(1+sinx)
\n" ); document.write( "2=4(cosx)
\n" ); document.write( "cosx=2/4=1/2
\n" ); document.write( "x=pi/3 and 5pi/3 (note: cos positive in quadrants I and IV)
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