Question

Show tan(-x) = -tan(x) using tan(x)=sin(x)/cos(x)

Answer 1

sin is odd, cos is even, therefore tan is odd

Answer 2

tan(-x) = sin(-x) / cos(-x) = -sin(x) / cos(x) = - (sin(x) / cos(x)) = - tan(x)

Answer 3

That proof assumes it is known that:
sin(-x) = -sin(x) and
cos(-x) = cos(x)

Answer 4

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