document.write( "Question 604206: verify (tanx)/(1-cosx)=cscx(1+secx) \n" ); document.write( "
Algebra.Com's Answer #381011 by lwsshak3(11628)\"\" \"About 
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verify (tanx)/(1-cosx)=cscx(1+secx)
\n" ); document.write( "starting with right side
\n" ); document.write( "csc(1+sec)
\n" ); document.write( "=(1/sin)(1+(1/cos))
\n" ); document.write( "expand
\n" ); document.write( "=(1/sin)+(1/sincos)
\n" ); document.write( "=(cos+1)/(sincos)
\n" ); document.write( "multiply top and bottom by (cos-1)
\n" ); document.write( "=(cos+1)(cos-1)/(sincos)(cos-1)
\n" ); document.write( "=(cos^2-1)/(sincos)(cos-1)
\n" ); document.write( "=[(cos^2-1)/sincos]*(1/(cos-1))
\n" ); document.write( "=(-sin^2)/sincos/(cos-1)
\n" ); document.write( "=(-sin/cos)/(cos-1)
\n" ); document.write( "=-tan/(cos-1)
\n" ); document.write( "=tan/(1-cos)
\n" ); document.write( "verified:
\n" ); document.write( "right side=left side
\n" ); document.write( " \n" ); document.write( "
\n" );