document.write( "Question 272182: need help on 2 problems with the directions- find all solutions of the equation in the interval (0,2pie) algebraically.\r
\n" ); document.write( "\n" ); document.write( "1. cosx + sinxtanx = 2\r
\n" ); document.write( "\n" ); document.write( "2. secxcscx = 2cscx
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Algebra.Com's Answer #199171 by stanbon(75887)\"\" \"About 
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find all solutions of the equation in the interval (0,2pie) algebraically.
\n" ); document.write( "1. cosx + sinxtanx = 2
\n" ); document.write( "cosx + cosx = 2
\n" ); document.write( "2cos(x) = 2
\n" ); document.write( "cos(x) = 1
\n" ); document.write( "x = 0 and x = 2pi
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\n" ); document.write( "2. secxcscx = 2cscx
\n" ); document.write( "2csc(x) - sec(x)*csc(x) = 0
\n" ); document.write( "Factor:
\n" ); document.write( "csc(x)[2 - sec(x)] = 0
\n" ); document.write( "csc(x) = 0 or sec(x) = 2
\n" ); document.write( "---
\n" ); document.write( "Solutions:
\n" ); document.write( "csc(x) never equals 0
\n" ); document.write( "---
\n" ); document.write( "sec(x) = 2 when cos(x) = 1/2
\n" ); document.write( "when x = pi/3 or x = (5/3)pi
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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