document.write( "Question 1043832: prove that $\"+%28secX-cosecX%29%2F%28secX%2BcosecX%29\"$ = $\"%28tanX-1%29%2F%28tanX%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #658993 by Boreal(15235) $\"\"$ $\"About$

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sec x-csc x=(1/cos x)- (1/sin x)=(sin x-cos x)/cos x * sin x--numerator
\n" ); document.write( "sec x + csc x=(sin x + cos x)/cos x* sin x--denominator.
\n" ); document.write( "(sin x - cos x)/cos x * sin x divided by (sin x + cos x)/cos x* sin x
\n" ); document.write( "Now cancel just the sin x in both denominators.
\n" ); document.write( "(sin x- cos x)/cos x divided by (sin x+ cos x)/cos x
\n" ); document.write( "This is tan x-1/tan x +1
\n" ); document.write( " \n" ); document.write( "

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