document.write( "Question 697819: using trigonometric fundamental identities prove that sina/(1+cosa)+(1+cosa)/sina=2csca \n" ); document.write( "
Algebra.Com's Answer #430292 by lwsshak3(11628)\"\" \"About 
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using trigonometric fundamental identities prove that sina/(1+cosa)+(1+cosa)/sina=2csca
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\n" ); document.write( "sin/(1+cos)+(1+cos)/sin=2csc
\n" ); document.write( "start with left side:
\n" ); document.write( "sin/(1+cos)+(1+cos)/sin
\n" ); document.write( "sin^2+(1+cos)^2)/sin(1+cos)
\n" ); document.write( "(sin^2+1+2cos+cos^2)/sin(1+cos)
\n" ); document.write( "(1+1+2cos)/sin(1+cos)
\n" ); document.write( "(2+2cos)/sin(1+cos)
\n" ); document.write( "2(1+cos)/sin(1+cos)
\n" ); document.write( "2/sin
\n" ); document.write( "2csc
\n" ); document.write( "verified: left side=right side
\n" ); document.write( "
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