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sinx*cosx=1/5, x=?

 Feb 6, 2015

Best Answer 

 #1
avatar+130511 
+5

sinxcosx = 1/5

And by a trig identity.....

2sinxcosx = 2/5    means that

sin(2x) = 2/5

And sinx = 2/5 at about 23.58º   and at 156.42º

So sin(2x) = 2/5 at [23.58º] /2  = about 11.79º   and at [156.42º] / 2 = about 78.21º

 

 Feb 6, 2015
 #1
avatar+130511 
+5
Best Answer

sinxcosx = 1/5

And by a trig identity.....

2sinxcosx = 2/5    means that

sin(2x) = 2/5

And sinx = 2/5 at about 23.58º   and at 156.42º

So sin(2x) = 2/5 at [23.58º] /2  = about 11.79º   and at [156.42º] / 2 = about 78.21º

 

CPhill Feb 6, 2015

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