document.write( "Question 674206: find all solutions of the equation sec(theta)tan(theta)-cos(theta)cot(theta)=sin(theta)
\n" ); document.write( "find the solutions in the interval [0,2pi] \n" ); document.write( "
Algebra.Com's Answer #419216 by lwsshak3(11628)\"\" \"About 
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find all solutions of the equation sec(theta)tan(theta)-cos(theta)cot(theta)=sin(theta)
\n" ); document.write( "find the solutions in the interval [0,2pi]
\n" ); document.write( "**
\n" ); document.write( "secxtanx-cosxcotx=sinx
\n" ); document.write( "1/cosx*sinx/cosx-cosx*cosx/sinx=sinx
\n" ); document.write( "sinx/cos^2x-cos^2x/sinx=sinx
\n" ); document.write( "multiply each term by sinx
\n" ); document.write( "sin^2x/cos^2x-cos^2x=sin^2x
\n" ); document.write( "sin^2x/cos^2x=sin^2x+cos^2x
\n" ); document.write( "sin^2x/cos^2x=1
\n" ); document.write( "tan^2x=1
\n" ); document.write( "tanx=±√1=±1
\n" ); document.write( "x=π/4, 3π/4, 5π/4, and 7π/4
\n" ); document.write( " \n" ); document.write( "
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