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If I know that sinx = 3/4 and that 90<x<180 how can i find cosx and tanx

 May 21, 2016
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If I know that sinx = 3/4 and that 90<x<180 how can i find cosx and tanx

 

Think of the acute angle first.

Draw a right angled triangle and label on of the acute angles x

sinx=3/4 so label the opposite side 3 and the hypotenuse 4

Find the other side using the pythagorean theorem.

It will be   sqrt(16-9)=sqrt7

 

BUT x is really in the second quadrant so cos and tan will both be negative

 

\(cos x =\frac{- \sqrt7}{4}\\ and\\ tan x = \frac{-3}{\sqrt7}\\ \)

 May 21, 2016

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