Fanduekisses
  • Fanduekisses
**PRE-CALC HELP PLEASE How to verify the identity tan(x+pi/2)=-cotx ?
Mathematics
chestercat
  • chestercat
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Fanduekisses
  • Fanduekisses
Do I USE the cofunction identity?
tkhunny
  • tkhunny
You use whatever works. Let's see what happens when you use the cofunction identity.
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
tan(x+y) = (tan x +tan y) / (1- tan x tan y)

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Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
here y is pi/2
Fanduekisses
  • Fanduekisses
ooooh I see so x is x and y is pi/2?
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
yes
Fanduekisses
  • Fanduekisses
so x + pi/2/ 1-x + pi/2 ?
Fanduekisses
  • Fanduekisses
is that correct?
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
no
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
tan x + tan 90/ (1- tan90 *tanx)
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
then divide numerator and denominator by tan 90 . as u know tan 90 is "infinite" and 1 / "infinte" = 0 Now try to solve it
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
no
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
(tan x/tan 90+1 ) / [(1 /tan 90) - tanx)]
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
got it ?

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