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What is the exact value of cosθ in simplified form?

 Feb 17, 2018
 #1
avatar+94526 
+1

cos θ  =  - √ [  1  -  sin^2  θ ] =

 

- √ [  1  -  (4/7)^2 ]   =

 

- √ [  1  -  16/ 49 ]   =

 

- √   [ 49 - 16]  / 7  =

 

- √33 /  7

 

We take the negative root  because the cosine i negative in quadrant 2

 

 

cool cool cool

 Feb 17, 2018

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