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Mathematics 15 Online
OpenStudy (fanduekisses):

**PRE-CALC HELP PLEASE How to verify the identity tan(x+pi/2)=-cotx ?

OpenStudy (fanduekisses):

Do I USE the cofunction identity?

OpenStudy (tkhunny):

You use whatever works. Let's see what happens when you use the cofunction identity.

OpenStudy (muhammad_nauman_umair):

tan(x+y) = (tan x +tan y) / (1- tan x tan y)

OpenStudy (muhammad_nauman_umair):

here y is pi/2

OpenStudy (fanduekisses):

ooooh I see so x is x and y is pi/2?

OpenStudy (muhammad_nauman_umair):

yes

OpenStudy (fanduekisses):

so x + pi/2/ 1-x + pi/2 ?

OpenStudy (fanduekisses):

is that correct?

OpenStudy (muhammad_nauman_umair):

no

OpenStudy (muhammad_nauman_umair):

tan x + tan 90/ (1- tan90 *tanx)

OpenStudy (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

OpenStudy (muhammad_nauman_umair):

no

OpenStudy (muhammad_nauman_umair):

(tan x/tan 90+1 ) / [(1 /tan 90) - tanx)]

OpenStudy (muhammad_nauman_umair):

got it ?

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