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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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