Posted by tony on Sunday, July 14, 2013 at 8:48pm.
simplify the expression.
tan(π/2x)tanx

trig  tony, Sunday, July 14, 2013 at 8:57pm
tan (pi/2  x) = sin (pi/2  x) / cos (pi/2  x)
But sin (pi/2  x) = cos x
and
cos (pi/2  x) = sin x
<=>
tan (pi/2  x) = cos x / sin x = cotan x
<=>
tan (pi/2  x) * tan x =
cotan x * tan x =
(cos x / sin x) * (sin x / cos x) =
1

trig  Steve, Monday, July 15, 2013 at 4:56am
works for me.
the cofunctions are the functions of the complementary angles. So, by definition, tan(π/2x) = cot(x). Your proof works as well, though.
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