Posted by Don on Saturday, December 17, 2011 at 1:49pm.
There is no equal sign so no identity.
sec t = 1/cos t
by definition if that helps
sec ( theta ) = 1 / cos ( theta )
sec ( theta ) - cos( theta ) =
[ 1 / cos ( theta ) ] - cos ( theta ) =
[ 1 - cos ^ 2 ( theta )] / cos ( theta ) =
sin ^ 2 ( theta) / cos ( theta ) =
sin ( theta ) * sin ( theta ) / cos ( theta ) =
[ sin ( theta ) / cos ( theta ) ] * sin ( theta ) =
tan ( theta ) * sin ( theta )
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