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sin 7x = − 

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 Jul 17, 2014

Best Answer 

 #1
avatar+33654 
+5

sin(60°) is +(√3)/2, so we want to look for the quadrants where sin is negative.  These are the 3rd and 4th quadrants.  

In these quadrants sin(180°+60°) = -(√3)/2 and sin(360°-60°) = -(√3)/2.

So we have that 7x = 240° and 7x = 300°

x = 240/7 ≈ 34.29° and x ≈ 42.86° 

Of course we can also add multiples of (360/7)° to these.

 Jul 17, 2014
 #1
avatar+33654 
+5
Best Answer

sin(60°) is +(√3)/2, so we want to look for the quadrants where sin is negative.  These are the 3rd and 4th quadrants.  

In these quadrants sin(180°+60°) = -(√3)/2 and sin(360°-60°) = -(√3)/2.

So we have that 7x = 240° and 7x = 300°

x = 240/7 ≈ 34.29° and x ≈ 42.86° 

Of course we can also add multiples of (360/7)° to these.

Alan Jul 17, 2014

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