document.write( "Question 405691: how do i prove the trig identity? (tan^2X)/secX = secX - cosX \n" ); document.write( "
Algebra.Com's Answer #286612 by lwsshak3(11628)\"\" \"About 
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how do i prove the trig identity? (tan^2X)/secX = secX - cosX
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\n" ); document.write( "start with the left side,\r
\n" ); document.write( "\n" ); document.write( "tan^2/sec
\n" ); document.write( "=(sin2/cos^2)/(1/cos)
\n" ); document.write( "=sin^2/cos
\n" ); document.write( "=(1-cos^2)/cos
\n" ); document.write( "=1/cos-cos^2/cos
\n" ); document.write( "=sec-cos
\n" ); document.write( "ans:left-hand side=right-hand side
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