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ANSWER + EXPLANATIONS PLEASE

 

if A represents an angle such that sin2A = tanA - Cos2A

Then, sinA- CosA =

 

A) -\(-\sqrt{2}\)

b) 0

c)1

d)2\(\sqrt{2}\)

 Nov 18, 2015
edited by Guest  Nov 18, 2015
edited by Guest  Nov 18, 2015
edited by Guest  Nov 18, 2015
 #1
avatar+130555 
+5

sin2A = tanA - Cos2A

 

Here's a graph of the intersections of both sides.......https://www.desmos.com/calculator/05szgkl0av

 

At   [45° +/- 180n] °...where n is an integer.....sinA = cosA   so the answer is 0

 

At [135° +/- 180n] °...where n is an integer.....cosA = -sinA........and sinA  = sqrt(2)  / 2   ......so.............sinA - cosA   =  sinA + sinA = sqrt(2)/2  + sqrt(2)/2 =   sqrt(2)

 

 

 

cool cool cool

 Nov 19, 2015

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