document.write( "Question 206930: proof, sin t x csc t (tan t x cot t) = sec^2 t + csc^2 t \n" ); document.write( "

Algebra.Com's Answer #156437 by Alan3354(69443) $\"\"$ $\"About$

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sin t x csc t (tan t x cot t) = sec^2 t + csc^2 t
\n" ); document.write( "----------
\n" ); document.write( "sin(t)*csc(t)*(tan(t)*cot(t)) = sec^2(t) + csc^(t)
\n" ); document.write( "sin*csc = 1
\n" ); document.write( "tan*cot = 1
\n" ); document.write( "----------
\n" ); document.write( "sec^2 + csc^2 = 1
\n" ); document.write( "1/cos^2 + 1/sin^2 = 1
\n" ); document.write( "(sin^2 + cos^2)/sin^2cos^2 = 1
\n" ); document.write( "sin^2 + cos^2 = 1
\n" ); document.write( "1/sin^2cos^2 = 1
\n" ); document.write( "sin^2cos^2 <> 1
\n" ); document.write( "It does not. \n" ); document.write( "

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