document.write( "Question 992757: if tan theta = 1 / root 7, show that (cosec ^2 theta - sec ^2 theta )/cosec^2 theta +sec^2 theta )=3/4 \n" ); document.write( "
Algebra.Com's Answer #612244 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "if tan theta = 1 / root 7
\n" ); document.write( "cosec theta = root 8/1
\n" ); document.write( "sec theta = root 8/root 7
\n" ); document.write( "...........
\n" ); document.write( "(cosec ^2 theta - sec ^2 theta )/cosec^2 theta +sec^2 theta )
\n" ); document.write( "(root 8/1)^2 - (root 8/root 7)^2/ (root 8/1)^2 + (root 8/root 7)^2
\n" ); document.write( "(8/1 - 8/7) / (8/1 + 8/7)
\n" ); document.write( "((56 -8)/7 / ((56 + 8)/7
\n" ); document.write( " [48/7 / 64/7]
\n" ); document.write( " [ 48 x 7]/ [7 x 64)
\n" ); document.write( "Cancel 7's top and bottom
\n" ); document.write( "=48/64
\n" ); document.write( "Divide top and bottom by 16
\n" ); document.write( "= 3/4
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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