# Answer to Question #19796 in Trigonometry for kevin

Question #19796

simplify the expression

sin x cos x

--------------

tan x

sin x cos x

--------------

tan x

Expert's answer

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

hence

sin(x)cos(x) / tan(x)= sin(x)*cos(x)*cos(x) / sin(x) = cos(x)*cos(x) = (cos(x))^2

hence

sin(x)cos(x) / tan(x)= sin(x)*cos(x)*cos(x) / sin(x) = cos(x)*cos(x) = (cos(x))^2

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