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Mathematics 22 Online
OpenStudy (anonymous):

please answer :)

OpenStudy (anonymous):

\[if x+y=90, then \frac{ sinx tany }{ siny tanx } is equal \to?\]

hartnn (hartnn):

u want answer in terms of x or y ?

OpenStudy (anonymous):

the possible answers are a. tanx b.1/tanx c.-tanx d. -1/tanx

OpenStudy (ash2326):

given \[x+y=90\] \[\frac{\sin x \tan y}{\sin y \tan x}\ \ \ \ \ \ \ =\] write all in terms of y=90-x @eroshea what's sin (90-x)??

OpenStudy (anonymous):

cos x?

OpenStudy (ash2326):

good, so sin y=sin (90-x)=cos x similarly change tan y in terms of x

OpenStudy (anonymous):

i'm confused @.@

OpenStudy (ash2326):

tan y=tan (90-x)=??

OpenStudy (anonymous):

that's cot y = (tan 90-x)

OpenStudy (ash2326):

good so \[\frac{\sin x \tan y}{\sin y \tan x}\ \ \ \ \ \ \ =\frac{\sin x \cot x}{\cos x \tan x}\ \ \ \ \ \ \ = ?\] Can you simplify this now?

OpenStudy (anonymous):

tanx?

OpenStudy (anonymous):

owh.. 1/tanx maybe?

OpenStudy (ash2326):

check again, are you sure?

OpenStudy (anonymous):

what i got was cosx/sinx =cotx or 1/tanx

OpenStudy (ash2326):

you're correct :)

OpenStudy (anonymous):

thanks! :))

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