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29-07-2017
Mathematics

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Simplify the following, tan -x cos -x

Respuesta :

mathmate mathmate

29-07-2017

Tan(A)=sin(A) / cos(A)
so
tan(A)*cos(A)=sin(A)/cos(A)*cos(A)
=sin(A) [ by cancelling cos(A) ]

substitute -x for A, then
tan(-x)cos(-x) = sin(-x)
[ provided cos(-x) does not equal zero, i.e. x does not equal (k+1/2)pi where k is an integer ]

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