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You can put this solution on YOUR website!
tan(t) = sin(t) / cos(t)
\n" ); document.write( "sin(t) = 1/csc(t)
\n" ); document.write( "cos(t) = 1/sec(t)
\n" ); document.write( "by substitution, tan(t) = (1/csc(t)) / (1/sec(t))
\n" ); document.write( "this is equivalent to:
\n" ); document.write( "tan(t) = (1/csc(t))*sec(t) which is equivalent to:
\n" ); document.write( "tan(t) = sec(t)/csc(t)
\n" ); document.write( "your original equation is:
\n" ); document.write( "sec^2(t)/tan(t) = sec(t)*csc(t)
\n" ); document.write( "multiply both sides of this equation by tan(t) to get:
\n" ); document.write( "sec^2(t) = sec(t)*csc(t)*tan(t)
\n" ); document.write( "substitute sec(t)/csc(t) for tan(t) to get
\n" ); document.write( "sec^2(t) = sec(t)*csc(t)*sec(t)/csc(t)
\n" ); document.write( "the csc(t) in the numerator and denominator cancel out and you are left with:
\n" ); document.write( "sec^2(t) = sec(t)*sec(t)
\n" ); document.write( "since sec(t)*sec(t) is equal to sec^2(t), you are done.
\n" ); document.write( " \n" ); document.write( "